RESEARCH PAPERS

1- M.R. Darafsheh and M. Rajabi Tarkhorani and S. Abbasbandy. The t-Designs on 13 Points with a Primitive Group of Order 78 as a Group of Automorphism. J. Inst. Maths. Comp. Sc. (Math. Ser.) Vol. 5, No. 2,1991, 171-180.  MR 1207051, Zbl. 801.05011.

2- S. Abbasbandy and E. Babolian. Automatic Augmented Galerkin Algorithms for Fredholm Integral Equations of the First Kind.  ACTA Math. Sci. (English Ed.) Vol. 17, No. 1, 1997, 69-84, MR 98d:65165, Zbl. 0890.65137.

3- S. Abbasbandy and E. Babolian. Interpolation of Fuzzy Data by Natural Splines.  J.  Appl.  Math.  Comput.  Vol. 5, No. 2, 1998, 457-463, MR 1 625 194, Zbl. 0914.65001.
   
4- S. Abbasbandy and E. Babolian. An Automatic Augmented Galerkin Method for Singular Integral Equations with Hilbert Kernel.  J.  Appl.  Math.  Comput.  Vol. 8, No. 2, 2001, 337-345, MR 2002b:65193, Zbl. 0984.65144. 

5- S. Abbasbandy. Interpolation of Fuzzy Data by Complete Splines.  J.  Appl.  Math.  Comput.  Vol. 8, No. 3, 2001, 587-594, MR 2002e:65019, Zbl. pre01686031. 

6- S. Abbasbandy and Du Jinyuan. Numerical Implementation of Cauchy-type Integral Equations.  J.  Appl.  Math.  Comput.  Vol. 9, No. 1, 2002, 253-260, MR 2002j:65131, Zbl. 0995.65144.

7- S. Abbasbandy and B. Asady.  Note on "A new approach for defuzzification".  Fuzzy sets and systems, Vol. 128, No. 1, 2002, 131-132, MR 1 903 238, Zbl. pre01809951.  

8- S. Abbasbandy and M.A. Fariborzi Araghi. A Reliable Method to Determine the Ill-Condition Functions Using Stochastic Arithmetic. Southwest J. of Pure and Applied Mathematics, No. 1, June 2002, 33-38, MR 1 911 140, Zbl. Pre01925195.

9- S. Abbasbandy and M.A. Fariborzi Araghi. Numerical Solution of Improper Integral with Valid Implementation. Mathematical & Computational Applications, Vol. 7, No. 1, 2002, 83-91, MR 1 916 609, Zbl. 1012.65022.

10- S. Abbasbandy and T. Allah Viranloo. Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method and the Intuitionistic Treatment. Notes on Intuitionistic Fuzzy Sets, Vol. 8, No.3, 2002, 43-53, MR 2026512.

11-  S. Abbasbandy and T. Allah Viranloo. Numerical Solution of Fuzzy Differential Equations by Taylor Method. J. of Computational Methods in Applied Mathematics, Vol. 2, No. 2, 2002, 113-124, MR 1 930 841.

12- S. Abbasbandy and T. Allah Viranloo. Numerical Solution of Fuzzy Differential Equation.  Mathematical & Computational Applications, Vol. 7, No. 1, 2002, 41-52, MR 1 916 608, Zbl. 1013.65070.

13- S. Abbasbandy and M.A. Fariborzi Araghi. The Valid Implementation of Numerical Integration Methods. Far East J. of Appl. Math., Vol. 8, No. 2, 2002, 89-101, MR 1 942 695, Zbl.  pre01894902.

14- S. Abbasbandy. Improving Newton-Raphson Method for Nonlinear Equations by Modified Adomian Decomposition Method. Applied Mathematics and Computation, Vol. 145, No. 2-3, 2003, 887-893, MR 2 009 307.

15- S. Abbasbandy and T. Allah Viranloo. Extrapolation Method for Improving the Solution of Fuzzy Initial Value Problems. Mathematical & Computational Applications, Vol. 9, No. 2, 2004, 205-214, MR 1 999 813.

16- S. Abbasbandy and M.A. Fariborzi Araghi. The Use of the Stochastic Arithmetic to Estimate the Value of Interpolation Polynomial with Optimal Degree. Applied Numerical Mathematics, Vol. 50, 2004, 279-290, MR 2074006.

17- S. Abbasbandy and T. Allah Viranloo. Numerical Solutions of Fuzzy Differential Equation by Runge-Kutta Method.  Nonlinear Studies, Vol. 11, No. 1, 2004, 117-129, MR 2058064.

18- K. Maleknejad, F. Mirzaee and S. Abbasbandy. Solving Linear Integro-Differential Equations Dystem by Using Rationalized Haar Functions Method. Applied Mathematics and Computation, Vol. 155,  2004, 317-328.

19- S. Abbasbandy and B. Asady. The Nearest Trapezoidal Fuzzy Number to a Fuzzy Quantity.   Applied Mathematics and Computation, Vol. 156,  2004, 381-386.

20- S. Abbasbandy and B. Asady. Newton's Method for Solving Fuzzy Nonlinear Equations.  Applied Mathematics and Computation, Vol. 159, 2004, 349-356.

21- S. Abbasbandy, T. Allah Viranloo,  Oscar Lopez-Pouso and Juan J. Nieto. Numerical Methods for Fuzzy Differential Inclusions. Comput. Math. Appl., Vol. 48,  2004,  1633-1641.

22- E. Babolian, H. Sadeghi and S. Abbasbandy. Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method.  Applied Mathematics and Computation, Vol. 161, 2005, 733-744.

23- S. Abbasbandy and M.T. Darvishi. A numerical solution of Burgers' equation by modified Adomian method, Applied Mathematics and Computation, Vol. 163, 2005, 1265-1272.

24- S. Abbasbandy and M.T. Darvishi. A numerical solution of Burgers' equation by time discretization of Adomian’s decomposition method, Applied Mathematics and Computation, Vol. 170, 2005, 95-102.

 

25- B. Asady, S. Abbasbandy and M. Alavi. Fuzzy General Linear Systems, Applied Mathematics and Computation, Vol. 169, 2005, 34-40.

 

26- S. Abbasbandy. Extended Newton's method for a system of nonlinear equations by modified Adomian decomposition method, Applied Mathematics and Computation, Vol. 170, 2005, 648-656.

 

27- S. Abbasbandy and M.A. Fariborzi Araghi. A Stochastic Scheme for Solving Definite Integrals, Applied Numerical Mathematics, Vol. 55, 2005, 125-136.

 

28- S. Abbasbandy, A. Jafarian and R. Ezzati. Conjugate Gradient Method for Fuzzy Symmetric Positive Definite System of Linear Equations, Applied Mathematics and Computation, Vol. 171, 2005, 1184-119.

 

29- S. Abbasbandy. Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method, Applied Mathematics and Computation, Vol. 172, 2006, 431-438.

 

30- S. Abbasbandy. Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method, Applied Mathematics and Computation, Vol. 172, 2006, 485-490.

 

31- S. Abbasbandy, R. Ezzati and A. Jafarian. LU Decomposition Method for Solving Fuzzy System of Linear Equations, Applied Mathematics and Computation, Vol. 172, 2006, 633-643.

 

32- S. Abbasbandy and M. Amirfakhrian. The nearest approximation of a Fuzzy quantity in parametric form, Applied Mathematics and Computation, Vol. 172, 2006, 624-632.

 

33- S. Abbasbandy and B. Asady. Ranking of fuzzy numbers by sign distance, Information Sciences, Vol. 176, 2006, 2405-2416.

 

34- S. Abbasbandy,  Juan J. Nieto and M. Alavi. Tuning of reachable set in one dimensional fuzzy differential inclusions, Chaos, Solitons & Fractals, Vol. 26, 2005, 1337-1341.

 

35- S. Abbasbandy, A new decomposition method based on infinite products. Kybernetes, Vol. 34, 2005,1027-1033.

 

36- S. Abbasbandy, Numerical solutions of the integral equations: Homotopy perturbation method and Adomian's decomposition method, Applied Mathematics and Computation, Vol. 173, 2006, 493-500.

 

37- H. Sadeghi Goghary and S. Abbasbandy. Interpolation of fuzzy data by Hermite polynomial. Int. J. Comput. Math. Vol. 82, 2005, 595-600.

 

38- S. Abbasbandy and A. Jafarian. Steepest Descent Method for Solving Fuzzy Nonlinear Equations, Applied Mathematics and Computation, Vol. 174, 2006, 669-675.

 

39- S. Abbasbandy and M. Amirfakhrian. Numerical approximation of fuzzy functions by fuzzy polynomials, Applied Mathematics and Computation, Vol. 174, 2006, 1001-1006.

 

40- S. Abbasbandy, E. Babolian and M. Allame. Numerical solution of fuzzy max-min systems, Applied Mathematics and Computation, Vol. 174, 2006,1321-1328.

 

41- S. Abbasbandy,  Juan J. Nieto and M. Amirfakhrian. Best approximation of fuzzy functions, Nonlinear Studies, Vol. 14, No. 1, 2007, 87-102.

 

42- S. Abbasbandy. Iterated He's homotopy perturbation method for quadratic Riccati differential equation. Applied Mathematics and Computation, Vol. 175, 2006, 581-589.

 

43- S. Abbasbandy and M. Amirfakhrian. A new approach to universal approximation of fuzzy functions on a discrete set of points. Applied Mathematical Modelling, Vol. 30, 2006, 1525-1534.

 

44- S. Abbasbandy and A. Jafarian. Steepest descent method for system of fuzzy linear equations. Applied Mathematics and Computation, Vol. 175, 2006, 823-833.

 

45- S. Abbasbandy and R. Ezzati. Newton's method for solving a system of fuzzy nonlinear equations.  Applied Mathematics and Computation, Vol. 175, 2006, 1189-1199.

 

46- S. Abbasbandy. Application of He's homotopy perturbation method for Laplace transform. Chaos, Solitons & Fractals, Vol. 30, 2006, 1206-1212.

 

47- S. Abbasbandy, E. Babolian and M. Alavi. Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Chaos, Solitons & Fractals, Vol. 31, 2007, 138-146.

 

48- S. Abbasbandy, Application of He's homotopy perturbation method to functional integral equations. Chaos, Solitons & Fractals, 31 (2007) 1243-1247.

 

49- S. Abbasbandy and T. Allahviranloo. The Adomian decomposition method applied to the fuzzy system of Fredholm integral equations of the second kind, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 14, 2006, 101-110.

 

50- S. Abbasbandy. A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method. Chaos, Solitons & Fractals,Vol. 31, 2007, 257-260.

 

51- S. Abbasbandy and M. Otadi. Numerical solution of fuzzy polynomials by fuzzy neural network. Applied Mathematics and Computation, Vol. 181, 2006, 1084-1089.

 

52- M. Soleimani-damaneh, G.R. Jahanshahloo and S. Abbasbandy. Computational and theoretical pitfalls in some current performance measurement techniques; and a new approach.  Applied Mathematics and Computation, Vol.  181, 2006, 1199-1207.

 

53- S. Abbasbandy and M. Amirfakhrian. The nearest trapezoidal form of a generalized left right fuzzy number.  Internat. J. Approx. Reason., Vol.  43,  2006,  166-178.

 

54- S. Abbasbandy, J.J. Nieto, R. Ezzati and R.Rodriguez-Lopez. Newton's method for solving quadratic fuzzy equations. Adv. Theor. Appl. Math., Vol. 1, 2006, 1-8.

 

55- S. Abbasbandy and R. Ezzati. Homotopy method for solving fuzzy nonlinear equations, Applied Science, Vol. 8, 2006, 1-7.

 

56- A. Razani and S. Abbasbandy. A fixed point theorem on the fuzzy number space, Applied Science, Vol. 8, 2006, 142-145.

 

57- S. Abbasbandy, E. Babolian and M. Allame. The Chebychev best approximation for unsolvable systems of Max-Min fuzzy equations, Nonlinear Studies, Vol. 13, No. 2, 2006, 123-129.

 

58- Yue Tan and S. Abbasbandy. Homotopy analysis method for quadratic Riccati differential equation.  Commun. Nonlinear Sci. Numer. Simul.  Vol. 13,  2008,  539-546.

 

59- S. Abbasbandy. An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method, J. Comput. Appl. Math. Vol. 207,  2007,  53-58.

 

60- S. Abbasbandy. A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials, J. Comput. Appl. Math. Vol. 207,  2007. 59-63.

 

61- S. Abbasbandy. The application of homotopy analysis method to nonlinear equations arising in heat transfer, Phys. Lett. A,  Vol. 360, 2006, 109-113.

 

62- S. Abbasbandy and M. Otadi. Fuzzy neural network approach to fuzzy polynomials, Mathware & Soft Computing, Vol. 13, No. 2, 2006, 127-134.

 

 

63- S. Abbasbandy and M. Adabitabar Firozja. Fuzzy linguistic model for interpolation, Chaos, Solitons & Fractals, Vol. 34, 2007, 551-556.

 

64- S. Abbasbandy. The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation, Phys. Lett. A,  Vol. 361, 2007, 478-483.

 

65- S. Abbasbandy. Numerical solution of nonlinear Klein-Gordon equations by variational iteration method, Internat. J. Numer. Methods Engrg.  Vol. 70 , No. 7, 2007, 876-881.

 

66- S. Abbasbandy, M. Otadi and M. Mosleh. Minimal solution of general dual fuzzy linear systems, Chaos, Solitons & Fractals, Vol. 37, 2008, 1113-1124.

 

67- S. Abbasbandy. Homotopy analysis method for heat radiation equations,  Int. Commun. Heat Mass. 34, 2007, 380-387.

 

68- S. Abbasbandy, Y. Tan and S.J. Liao. Newton-Homotopy analysis method for nonlinear equations, Applied Mathematics and Computation, Vol. 188, 2007, 1794-1800.

 

69- S. Abbasbandy, T. Allahviranloo and R. Ezzati. A method for solving fuzzy general linear systems, J. Fuzzy Math. 15,  2007,  881-889.

 

70- S. Abbasbandy, M. Otadi and M. Mosleh. Compute eigenvalues and corresponding eigenvectors of fuzzy symmetric matrix by Jacobian method, Journal of Fuzzy Mathematics, 16, 2008, 963-971.

 

71- S. Abbasbandy and F. Samadian Zakaria. Soliton solutions for the fifth-order KdV equation with the homotopy analysis Method, Nonlinear Dynam. Vol. 51,  2008,  83-87.

 

72- S. Abbasbandy, R. Ezzati and H. Behforooz. Interpolation of fuzzy data by using fuzzy splines.  Internat. J. Uncertain. Fuzziness Knowledge-Based Systems, Vol. 16, No. 1, 2008, 107-115.

 

73- S. Abbasbandy. Homotopy analysis method for generalized Benjamin-Bona-Mahony equation. Z. Angew. Math. Phys. (ZAMP),  Vol. 59,   2008,  51-62.

 

74- S. Abbasbandy and R. Ezzati. Crisp solution of a system of fuzzy nonlinear equations, Nonlinear Studies, Vol. 14, No. 1, 2007, 81-86.

 

75- R. Ezzati and S. Abbasbandy, Existence of extremal solutions for fuzzy polynomials and their numerical solutions, Mathware Soft Comput. Vol. 14, No. 2, 2007, 147-164.

 

76- S. Abbasbandy. Solitary wave solutions to the modified form of Camassa-Holm equation by means of the homotopy analysis method, Chaos, Solitons & Fractals, Vol. 39, 2009, 428-435.

 

77- S. Abbasbandy. Solitary wave solutions to the Kuramoto--Sivashinsky equation by means of the homotopy analysis method, Nonlinear Dynam. 52,  2008,  35-40.

 

78- S. Abbasbandy. Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method, Chem. Eng. J.  Vol. 136,  2008,  144-150.

 

79- E. Babolian, S. Abbasbandy and F. Fattahzadeh. A numerical method for solving a class of functional and two dimensional integral equations, Appl. Math. Comput. Vol. 198, 2008, 35-43.

 

80- S. Abbasbandy. Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method, Appl. Math. Model. 32,  2008,  2706-2714.

 

 

81- S. Abbasbandy and E.J. Parkes. Solitary smooth hump solutions of the Camassa--Holm equation by means of the homotopy analysis method, Chaos, Solitons & Fractals 36, 2008, 581-591.

 

82- S. Abbasbandy and S.J. Liao. A new modification of false position method based on the homotopy analysis method. Appl. Math. Mech. Engl.  Vol. 29,  2008,  223-228.

 

 

83- S. Abbasbandy, M. Otadi and M. Mosleh. Numerical solution of a system of fuzzy polynomials by fuzzy neural network. Inform. Sci. 178,   2008,  1948–1960.

 

84- S. Abbasbandy. Numerical method for non-linear wave and diffusion equations by the variational iteration method, Internat. J. Numer. Methods Engrg. 73,  2008, 1836-1843.

 

85- S. Abbasbandy and A. Shirzadi. The variational iteration method for a family of fifth-order boundary value differential equations, Int. J. Non. Dyn. Eng. Sci. 1 (2009) 39-46.

 

86-  S. Abbasbandy and E. Shivanian. Application of the Variational Iteration Method for Nonlinear Volterra's Integro-Differential equations, Zeitschrift fur Naturforschung A, 63(a), 2008, 538-542.

 

87- S. Abbasbandy, M. Yurusoy and M. Pakdemirli. The analysis approach of boundary layer equations of power-law fluids of second grade, Zeitschrift fur Naturforschung A, 63(a), 2008, 564-570.

 

88- S. Abbasbandy and A. Shirzadi. The variational iteration method for a class of eighth-order boundary value differential equations, Zeitschrift fur Naturforschung A, 63(a), 2008, 745-751.

 

89- E.J. Parkes And S. Abbasbandy. Finding the one-loop solitons solution of the short-pulse equation by means of the homotopy analysis method, Numerical Methods for Partial Differential Equations 25 (2009) 401-408.

 

90- S. Abbasbandy and T. Hajjari, A new approach for ranking of trapezoidal fuzzy numbers, Computers and Mathematics with Applications, 57, 2009, 413-419.

 

91- S. Abbasbandy and E. Shivanian, Application of the variational iteration method for system of nonlinear Volterra’s integro-differential equations, Mathematical and Computational Applications, 14(2) (2009) 147-158.

 

92- S. Abbasbandy and A. Shirzadi. The series solution of problems in calculus of variations via homotopy analysis method, Zeitschrift fur Naturforschung A, 64(a) (2009) 30-36.

 

93- S. Abbasbandy, T. Hayat, R. Ellahi and S. Asghar. Numerical results of flow in a third grade fluid between two porous walls, Zeitschrift fur Naturforschung A, 64(a) (2009) 59-64.

 

94- S. Abbasbandy, T. Hayat and K. Maqbool. On series solution for generalized Falkner-Skan flow of a FENE-P model, International Journal for Numerical Methods in Fluids, 61 (2009) 698-708.

 

95- S. Abbasbandy and E.J. Parkes. Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis Method, Int. J. Comput. Math. 87 (2010) 2303-2313.

 

96- S. Abbasbandy. Homotopy analysis method for the Kawahara equation, Nonlinear Analysis Series B: Real World Applications, 11 (2010) 307-312.

 

97- T. Allahviranloo, S. Abbasbandy, N. Ahmady and E. Ahmady. Improved predictor-corrector method for solving fuzzy initial value problems, Information Sciences, 179 (2009) 945-955.

 

98- S. Abbasbandy, E. Ahmady and N. Ahmady. Triangular approximations of fuzzy numbers using α-weighted valuations, Soft Comput. 14 (2010) 71–79.

 

99- S. Abbasbandy, T. Hayat, F.M. Mahomed and R. Ellahi. On comparison of exact and series solutions for thin film flow of a third grade fluid, International Journal for Numerical Methods in Fluids, 61 (2009) 987-994.

 

100- S. Abbasbandy and T. Hayat. Solution of the MHD Falkner-Skan flow by Hankel-Pade method, Phys. Lett. A 373 (2009) 731-734.

 

101- T. Hayat, S. Noreen, N. Ali and S. Abbasbandy. Peristaltic motion of Phan-Thien-Tanner fluid in a planar channel, Numer. Methods Partial Differential Eq. 28(3) (2012) 737-748.

 

102- S. Nadeem, T. Hayat, S. Abbasbandy and M. Ali. Effects of partial slip on a fourth grade fluid with variable viscosity: an analytic solution, Nonlinear Analysis: Real World Applications, 11 (2010) 856-868.

 

103- S. Abbasbandy and T. Hayat. Solution of the MHD Falkner-Skan flow by homotopy analysis method, Commun. Nonlinear Sci. Numer. Simulat. 14 (2009) 3591-3598.

 

104- S. Abbasbandy, E. Magyari and E. Shivanian. The homotopy analysis method for multiple solutions of nonlinear boundary value problems, Commun. Nonlinear Sci. Numer. Simulat. 14 (2009) 3530-3536.

 

105- S. Abbasbandy and E. Taati. Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational Tau method and error estimation, J. Comput. Appl. Math. 231 (2009) 106-113.

 

106- S. Abbasbandy, M. Pakdemirli and E. Shivanian. Optimum path of a flying object with exponentially decaying density medium, Zeitschrift fur Naturforschung A, 64(a) (2009) 431-438.

 

107- S. Nadeem, S. Abbasbandy, M. Hussain. Series solutions of boundary layer flow of a micropolar fluid near the stagnation point towards a shrinking sheet, Zeitschrift fur Naturforschung A, 64(a) (2009) 575-582.

108- S. Abbasbandy, E. Babolian, M. Ashtiani. Numerical solution of the generalized Zakharov equation by homotopy analysis method, Commun. Nonlinear Sci. Numer. Simulat. 14 (2009) 4114-4121.

109- S. Abbasbandy, E. Shivanian. Application of variational iteration method for nth-order integro-differential equations, Zeitschrift fur Naturforschung A, 64(a) (2009) 439-444.

110- J.L. Lopez, S. Abbasbandy, R. Lopez-Ruiz. Formulas for the amplitude of the van der Pol limit cycle through the homotopy analysis method, Scholarly Research Exchange, vol. 2009, Article ID 854060, 2009. (doi:10.3814/2009/854060).

111- S. Abbasbandy, E. Shivanian. Series solution of the system of integro-differential equations, Zeitschrift fur Naturforschung A, 64(a) (2009) 811-818.

112- S. Abbasbandy, T. Hayat. On series solutions for MHD plane and axisymmetric flow near a stagnation point, Mathematical Problems in Engineering, vol. 2009, Article ID 376174, 2009.}(doi:10.1155/2009/376174).

113- R. Ellahi, S. Abbasbandy, T. Hayat, A. Zeeshan. On comparison of series and numerical solutions for second Painlevé equation, Numer. Methods Partial Differential Eq. 26 (2010) 1070-1078.

114- S. Abbasbandy, J.L. Lopez, R. Lopez-Ruiz. The homotopy analysis method and the Lienard equation, Int. J. Comput. Math. 88 (2011) 121-134.

115- S. Abbasbandy, A. Shirzadi. The first integral method for modified Benjamin-Bona-Mahony equation, Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 1759–1764.

116- S. Abbasbandy, M. Ashtiani, E. Babolian. Analytic solution of the Sharma-Tasso-Olver equation by homotopy analysis Method, Zeitschrift fur Naturforschung A, 65(a) (2010) 285-290.

117- M. Khan, S. Munawara, S. Abbasbandy. Steady flow and heat transfer of a Sisko fluid in annular pipe, Int. J. Heat Mass Transfer, 53 (2010) 1290-1297.

118- S. Abbasbandy, E. Shivanian. Exact analytical solution of a nonlinear equation arising in heat transfer, Phys. Lett. A, 374 (2010) 567-574.

119- S. Abbasbandy, A. Shirzadi. Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems, Numer. Algor. 54 (2010) 521–532.

120- H. Rouhparvar, S. Abbasbandy, T. Allahviranloo. Existence and uniqueness of solution an uncertain characteristic Cauchy reaction-diffusion equation by Adomian decomposition method, Mathematical and Computational Applications 15 (2010) 404-419.

121- S. Abbasbandy, A. Shirzadi. An efficient method for solving twelfth-order boundary value differential equations. World Appl. Sci. J. 9 (2010) 49-54.

122- S. Abbasbandy, E. Shivanian. Prediction of multiplicity of solutions of nonlinear boundary value problems: novel application of homotopy analysis method, Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 3830-3846.

123- S. Abbasbandy, E. Shivanian. Analysis of the vibration equation by means of the homotopy analysis method, J. Numer. Math. Stoch. 1 (2009) 77-84.

124- M. Mosleh, M. Otadi, S. Abbasbandy. Evaluation of fuzzy regression models by fuzzy neural network, J. Comput. Appl. Math. 234 (2010) 825-834.

125- S. Abbasbandy, E. Shivanian. A new analytical technique to solve Fredholm's integral equations. Numer.  Algor. 56 (2011) 27-43.

126- S. Abbasbandy, T. Hajjari. Weighted trapezoidal approximation-preserving cores of a fuzzy number, Comput. Math. Appl. 59 (2010) 3066-3077.

127- H. Rouhparvar, T. Allahviranloo, S. Abbasbandy. Existence and uniqueness of fuzzy solution for linear Volterra fuzzy integral equations, proved by Adomian decomposition method, Romai J. 5 (2009) 153-161.

128- S. Abbasbandy, H. Roohani Ghehsareh. The He's Variational iteration method for solving the integro-differential parabolic problem with integral conditions, Appl. Appl. Math. 5 (2010) 12-23.

129- H. Behforooz, R. Ezzati, S. Abbasbandy. Interpolation of Fuzzy Data by Using E(3) Cubic Splines. Int. J. Pure Appl. Math. 60 (2010) 383-392.

130- S. Abbasbandy, A. Shirzadi. A new application of the homotopy analysis method: Solving the Sturm-Liouville problems, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 112-126.

131- S.K. Khattri, S. Abbasbandy. Optimal fourth order family of iterative methods, Mat. Vesnik 63 (2011) 67-72.

132- S. Abbasbandy, A. Shirzadi. The variational iteration method for a class of tenth-order boundary value differential equations, Int. J. Indust. Math. 2 (2010) 29-36.

133- S. Abbasbandy, A. Shirzadi. A meshless method for two-dimensional diffusion equation with an integral condition, Eng. Anal. Bound. Elem. 34 (2010) 1031-1037.

134- K. Parand, S. Abbasbandy, S. Kazem, A.R. Rezaei. Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 1396–1407.

135- T. Allahviranloo, S. Abbasbandy, R. Saneifard. A method for ranking of fuzzy numbers using new weighted distance, Math. Comput. Appl. 16(2) (2011) 359-369.

136- T. Allahviranloo, S. Abbasbandy, H. Rouhparvar. The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method, Appl. Soft Comput. 11 (2011) 2186-2192.

137- S. Abbasbandy, M.S. Hashemi. Fuzzy Intergo-differential Equation: Formulation and Solution using the Variational Iteration Method, Nonlinear Sci. Lett. A, Vol. 1, (2010) 413-418.

138- H. Roohani Ghehsareh, B. Soltanalizadeh, S. Abbasbandy. A matrix formulation to the wave equation with nonlocal boundary condition, Int. J. Comput. Math. 88 (2011) 1681-1696.

139- S. Abbasbandy, A. Shirzadi. MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions, Appl. Numer. Math. 61 (2011) 170–180.

140- S. Abbasbandy. Approximate analytical solutions to thermo-poro-elastic equations by means of the iterated homotopy analysis method, Int. J. Comput. Math. 88 (2011) 1763-1775.

141- S. Abbasbandy, E. Shivanian. Predictor homotopy analysis method and its application to some nonlinear problems, Commun. Nonlinear Sci. Numer. Simulat.  16 (2011) 2456-2468.

142- M.M. Rashidi, S.A. Mohimanian Pour, S. Abbasbandy. Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 1874–1889.

143- S. Abbasbandy, E. Shivanian. Multiple solutions of mixed convection in a porous medium on semi-infinite interval using pseudo-spectral collocation method, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 2745-2752.

144- T. Hayat, Rahila Naz, S. Abbasbandy. On flow of a fourth grade fluid with heat transfer. Internat. J. Numer. Methods Fluids 67 (2011) 2043-2053.

145- T. Hayat, Rahila Naz, S. Abbasbandy. Poiseuille flow of a third grade fluid in a porous medium, Transp. Porous Med. 87 (2011) 355-366.

146- T. Allahviranloo, S. Abbasbandy, S. Salahshour, A. Hakimzadeh. A new method for solving fuzzy linear differential equations, Computing 92 (2011) 181-197.

147- M. Pakdemirli, T. Hayat, M. Yurusoy, S. Abbasbandy, S. Asghar. Perturbation analysis of a modified second grade fluid over a porous plate, Nonlinear Anal. RWA 12 (2011) 1774-1785.

148- S. Abbasbandy, T. Hayat. On series solution for unsteady boundary layer equations in a special third grade fluid, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 3140–3146.

149- K. Parand, S. Abbasbandy, S. Kazem, A.R. Rezaei. An improved numerical method on a class of astrophysics problems based on Radial basis functions, Phys. Scripta 83 (2011) 015011.

150- T. Allahviranloo, S. Abbasbandy, R. Saneifard. An approximation approach for ranking of fuzzy numbers with weighted interval-value, Math. Comput. Appl. 16(3) (2011) 588-597.

151- M. Otadi, M. Mosleh, S. Abbasbandy. Numerical solution of fully fuzzy linear systems by fuzzy neural network. Soft Computing 15 (2011) 1513-1522.

152- M.S. Hashemi, S. Abbasbandy. The solution of fuzzy Volterra-Fredholm intergo-differential equations using variational iteration method, Int. J. Math. Comput. 10 (2011) 29-38.

153- S. Abbasbandy, T.Allahviranloo, P. Darabi, O. Sedaghatfar. Variational iteration method for solving n-th order fuzzy differential equations. Math. Comput. Appl. 16 (2011) 819-829.

154- S. Abbasbandy, H. Roohani Ghehsareh. Solution of the MHD Falkner-Skan equation: Variational iteration method coupled with Pade approximation.  Nonlinear Sci. Lett. A 2(1) (2011) 31-36.

155- S. Abbasbandy, E. Shivanian, I. Hashim. Exact analytical solution of forced convection in a porous-saturated duct, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 3981-3989.

156- S. Abbasbandy, A. Shirzadi. An unconditionally stable finite difference scheme for equations of conservation law form, Ital. J. Pure Appl. Math. 37 (2017) 1-4.

157- K. Parand, S. Abbasbandy, S. Kazem, J. A. Rad. A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation. Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 4250-4258.

158- A. Sami Bataineh, I. Hashim, S. Abbasbandy, M.S.M. Noorani. Direct solution of singular higher-order BVPs by the homotopy analysis method and its modification, World Appl. Sci. J. 12 (2011) 884-889.

159- C. Chun, S. Abbasbandy. New application of variational iteration method for analytic treatment of nonlinear partial differential equations. World Appl. Sci. J. 16 (12) (2012) 1677-1681.

160- S. Abbasbandy, A. Shirzadi. Homotopy analysis method for a nonlinear chemistry problem, Stud. Nonlinear Sci. 1 (2010) 127-132.

161- H. Rouhparvar, S. Abbasbandy, T. Allahviranloo. The variational iteration method for exact solutions of fuzzy heat-like equations with variable coefficients, J. Amer. Sci. 7(2) (2011) 338-345.

162- S. Abbasbandy, T. Allahviranloo, P. Darabi. Numerical solution of n-th order fuzzy differential equations by Runge-Kutta method. Math. Comput. Appl. 16 (2011) 935-946.

163- S. Abbasbandy, V. Sladek, A. Shirzadi, J. Sladek. Numerical simulations for coupled pair of diffusion equations by MLPG method, CMES: Comput. Model. Eng. Sci. 71 (2011) 15-37.

164- S. Al-Shara', F. Awawdeh, S. Abbasbandy. An automatic scheme on the homotopy analysis method for solving nonlinear algebraic Equations, Ital. J. Pure Appl. Math. 37 (2017) 5-14.

165- Y. Aksoy, M. Pakdemirli, S. Abbasbandy, H. Boyaci. New perturbation-iteration solutions for nonlinear heat transfer equations. Internat. J. Numer. Methods Heat Fluid Flow 22(7) (2012) 814-828.

166- S. Abbasbandy, M.S. Hashemi, C.S. Liu. The Lie-group shooting method for solving the Bratu equation. Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 4238-4249.

167- S. Abbasbandy, E. Shivanian, K. Vajravelu. Mathematical properties of ћ-curve in the frame work of the homotopy analysis method. Commun. Nonlinear Sci. Numer. Simulat. 16 (2011) 4268-4275.

168- S. Abbasbandy, M.S. Hashemi. Group preserving scheme for the Cauchy problem of the Laplace equation, Eng. Anal. Bound. Elem. 35 (2011) 1003-1009.

169- T. Hajjari, S. Abbasbandy. A note on ``The revised method of ranking LR fuzzy number based on deviation degree'', Expert Syst. Appl. 38 (2011) 13491-13492.

170- M. Mosleh, M. Otadi, S. Abbasbandy. Fuzzy polynomial regression with fuzzy neural networks, Appl. Math. Model. 35 (2011) 5400-5412.

171- S. Kazem, J. Amani Rad, K. Parand, S. Abbasbandy. A new method for solving steady flow of a third grade fluid in a porous half space based on radial basis functions. Zeitschrift fur Naturforschung A 66a (2011) 591-598.

172- T. Allahviranloo, S. Salahshour, S. Abbasbandy. Explicit solutions of fractional differential equations with uncertainty. Soft Computing 16 (2012) 297-302.

173- Ali J. Chamkha, S. Abbasbandy, A.M. Rashad, K. Vajravelu. Radiation Effects on Mixed Convection over a Wedge Embedded in a Porous Medium Filled with a Nanofluid. Transp. Porous Med. 91 (2012) 261-279.

174- S. Kazem, M. Shaban, S. Abbasbandy. Improved analytical solutions to a stagnation point flow past a porous stretching sheet with heat generation.  J. Franklin Inst. 348 (2011) 2044-2058.

175- H. Vosughi, E. Shivanian, S. Abbasbandy. A new analytical technique to solve Volterra’s integral equations. Math. Methods Appl. Sci. 34 (2011) 1243-1253.

176- S. Abbasbandy, C. Bervillier. Analytic continuations of Taylor series and the boundary value problems of some nonlinear ordinary differential equations. Appl. Math. Comput. 218 (2011) 2178-2199.

177- M. Maleki, I. Hashim, S. Abbasbandy. Analysis of IVPs and BVPs on semi-infinite domains via collocation methods. J. Appl. Math. (2012) Article ID 696574, doi:10.1155/2012/696574.

178- S. Salahshour, T. Allahviranloo, S. Abbasbandy. Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Commun. Nonlinear Sci. Numer. Simulat. 17 (2012) 1372-1381.

179- S.M. Rassoulinejad-Mousavi, S. Abbasbandy. Analysis of forced convection in a circular tube filled with a Darcy-Brinkman-Forchheimer porous medium using spectral homotopy analysis method. J. Fluid Eng. 133 (2011) 101207.

180- S. Abbasbandy, H. Roohani Ghehsareh. Solutions for MHD viscous flow due to a shrinking sheet by Hankel-Pade method. Internat. J. Numer. Methods Heat Fluid Flow 23(2) (2013) 388-400.

181- S. Abbasbandy, H. Roohani Ghehsareh. A new semi-analytical solution of the telegraph equation with integral condition. Zeitschrift fur Naturforschung A 66a (2011) 760-768. 

182- A. Panahi, S. Abbasbandy, H. Rouhparvar. A Computational Method for Solving Fuzzy Differential Inclusions. Aust. J. Basic Appl. Sci. 5(6) (2011) 216-220.

183- R.C. Aziz, I. Hashim, S. Abbasbandy. Effects of thermocapillarity and thermal radiation on flow and heat transfer in a thin liquid film on an unsteady stretching sheet. Math.  Probl. Eng. vol. 2012, Article ID 127320, 14 pages, 2012. doi:10.1155/2012/127320.

184- A. Sadeghi, S. Abbasbandy, M.E. Abbasnejad. The common solution of the pair of fuzzy matrix equations. World Appl. Sci. J. 15 (2011) 232-238.

185- S. Abbasbandy, E. Shivanian. Exact analytical solution of the MHD Jeffery-Hamel flow problem. Meccanica 47(6) (2012) 1379-1389.

186- N.F.M. Noor, S. Abbasbandy, I. Hashim. Heat and mass transfer of thermophoretic MHD flow over an inclined radiate isothermal permeable surface in the presence of heat source/sink.  Int. J. Heat Mass Transfer 55 (2012) 2122-2128.

187- T. Allahviranloo, S. Abbasbandy, O. Sedaghgatfar, P. Darabi. A new method for solving fuzzy integro-differential equation under generalized differentiability. Neural Comput. Appl. 21(1) (2012) (Suppl 1):S191-S196.

188- T. Hajjari, S. Abbasbandy. A Promoter Operator for Defuzzification Methods.  Aust. J. Basic Appl. Sci.   5(10) (2011) 1096-1105.

189- S. Abbasbandy, H. Roohani Ghehsareh. Solutions of the MHD flow over a non-linear stretching sheet and nano boundary layers over stretching surfaces. Internat. J. Numer. Methods Fluids. 70(10) (2012) 1324-1340.

190- S. Abbasbandy, M.S. Hashemi. A series solution of fuzzy integro-differential equations. J. Fuzzy Set Valued Anal. Volume 2012 (2012), 1-17. (http://dx.doi.org/10.5899/2012/jfsva-00066).

191- H. Roohani Ghehsareh, S. Abbasbandy, B. Soltanalizadeh. Analytical solutions of the slip Magnetohydrodynamik viscous flow over a stretching sheet by using the Laplace Adomian Decomposition Method. Zeitschrift fur Naturforschung A 67(a) (2012) 248-254.

192- S. Abbasbandy, M.S. Hashemi, I. Hashim. On convergence of homotopy analysis method and its application to fractional integro-differential equations. Quaest. Math. 36(1) (2013) 93-105.

193- S. Abbasbandy. Numerical Study on Gas Flow Through a Micro-Nano Porous Media. Acta Phys. Polon. A 121 (3) (2012) 581-585.

194- H. Vosoughi, E. Shivanian, S. Abbasbandy. Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model. Numer. Algor. 61(3) (2012) 515-524.

195- S. Abbasbandy, M.S. Hashemi. Solving fully fuzzy linear systems by using implicit Gauss-Cholesky algorithm. Comput. Math. Model. 23(1) (2012) 107-124.

196- S. Samadpoor, H. Roohani Ghehsareh, S. Abbasbandy. An efficient method to obtain semi-analytical solutions of the nano boundary layers over stretching surface, Internat. J. Numer. Methods Heat Fluid Flow 23(7) (2013) 1179-1191.

197- Sh.S. Behzadi, T. Allahviranloo, S. Abbasbandy. Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method. Neural Comput. Appl. 21(1) (2012) (Suppl 1):S337-S346.

198- R. Ellahi, A. Riaz, S. Abbasbandy, T. Hayat, K. Vafai. A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder, Thermal Sci. 18(4)  (2014) 1247-1258.

199- A. Shirzadi, L. Ling, S. Abbasbandy. Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. Eng. Anal. Bound. Elem. 36 (2012) 1522-1527.

200- S. Abbasbandy, R. Saneifard. A method for defuzzification based on central interval and its application in decision making. J. Amer. Sci. 7(6) (2011) 1263-1271.

201- T. Allahviranloo, S. Abbasbandy, S. Hajighasemi. A new similarity measure for generalized fuzzy numbers. Neural Comput. Appl. 21(1) (2012) (Suppl 1):S289-S294.

202- J.A. Rad, K. Parand, S. Abbasbandy, D. Modarrespoor. Analytical solution of the transpiration on the boundary layer flow and heat transfer over a vertical slender cylinder, Quaest. Math. 36 (2013) 353-380.

203- Sh.S. Behzadi, S. Abbasbandy, T. Allahviranloo, A. Yildirim. Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations.  J. Appl. Anal. Comput. 2(2) (2012) 127-136.  (http://jaac-online.com/)

204- R. Ellahi, E. Shivanian, S. Abbasbandy, S.U. Rahman, T. Hayat. Analysis of steady flows in viscous fluid with heat/mass transfer and slip effects. Int. J. Heat Mass Transfer Transfer 55 (2012) 6384-6390.

205- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function. Eng. Anal. Bound. Elem. 36 (2012) 1811-1818.

206- S. Salahshour, S. Abbasbandy, T. Allahviranloo, D. Baleanu. Existence and uniqueness results for fractional differential equations with uncertainty. Adv. Differ. Equ. (2012) 2012:112}. doi:10.1186/1687-1847-2012-112.

207- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. An accurate solution for the steady flow of third-grade fluid in a porous half space. Walailak J. Sci. \& Tech. 9(2) (2012) 153-163.

208- M. Maleki, I. Hashim, S. Abbasbandy. Solution of time-varying delay systems using an adaptive collocation method. Appl. Math. Comput. 219 (2012) 1434-1448.

209- S. Abbasbandy, T. Hayat, A. Alsaedi, M.M. Rashidi. Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid.  Internat. J. Numer. Methods Heat Fluid Flow 24(2) (2014) 390-401.

210- S. Abbasbandy, T. Allahviranloo, P. Darabi, O. Sedaghgatfar. A new method for solving second-order fuzzy differential equation under generalized differentiability. Texas J. Sci. 23(4) (2012) 183-191.

211- S. Kazem, S. Abbasbandy, Sunil Kumar. Fractional-order Legendre functions for solving fractional-order differential equations. Appl. Math. Modelling 37(7) (2013) 5498-5510.

212- F. Awawdeh, S. Abbasbandy. Toward a new algorithm for nonlinear fractional differential equations. Adv. Appl. Math. Mech. 5(2) (2013) 222-234.

213- Ali J. Chamkha, S. Abbasbandy, A.M. Rashad, K. Vajravelu. Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Meccanica 48 (2013) 275-285.

214- I. Hashim, M. Maleki, M. Tavassoli Kajani, S. Abbasbandy. An adaptive pseudospectral method for fractional order boundary value problems.  Abstr. Appl. Anal. Volume 2012, Article ID 381708, 19 pages, doi:10.1155/2012/381708.

215- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. An approximate solution of the MHD flow over a non-linear stretching sheet by rational Chebyshev collocation method.  Politehn. Univ. Bucharest Sci. Bull. Ser. A 74(4) (2012) 47-58.

216- K. Vajravelu, K.V. Prasad, S. Abbasbandy. Convective transport of nanoparticles in a multi-layer fluid flow. Appl. Math. Mech. 34(2) (2013) 177-188.

217- M.S. Hashemi, M.C. Nucci, S. Abbasbandy. Group analysis of the modified generalized Vakhnenko equation. Commun. Nonlinear Sci. Numer. Simulat. 18 (2013) 867-877.

218- S. Abbasbandy, M. Jalili. Determination of optimal convergence-control parameter value in homotopy analysis method. Numer. Algor. 64(4) (2013) 593--605.

219- S. Abbasbandy, T. Hayat, H. Roohani Ghehsareh, A. Alsaedi. On MHD Falkner-Skan flow of Maxwell fluid by rational Chebyshev collocation method, Appl. Math. Mech. Engl. Ed. 34(8) (2013) 921-930.

220- B. Soltanalizadeh, H. Roohani Ghehsareh, A. Yildirim, S. Abbasbandy. On analytic solution for a steady Magnetohydrodynamic (MHD) equation, Zeitschrift fur Naturforschung A 68a (2013) 412-420.

221- S.M. Rassoulinejad-Mousavi, H.R. Seyf, S. Abbasbandy. Heat transfer through a porous saturated channel with permeable walls using two-equation energy model. J. Porous Media 16(3) (2013) 241-254.

222- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. A meshfree method for the solution of two-dimensional cubic nonlinear Schrodinger equation.  Eng. Anal. Bound. Elem. 37(6) (2013) 885-898.

223- R. Lopez-Ruiz, E. Shivanian, S. Abbasbandy, J.L. Lopez. A generalized continuous model for random markets. Mathematica Aeterna 3(4) (2013) 317-328. (http://www.e-hilaris.com/MA_volume3.html).

224- Sh.S. Behzadi, S. Abbasbandy, T. Allahviranloo. A study on singular integro-differential equation of Abel's type by iterative methods, J. Appl. Math. \& Informatics 31(3-4) (2013) 499-511.

225- S. Abbasbandy, B. Azarnavid, I. Hashim, A. Alsaedi. Approximation of backward heat conduction problem using gaussian radial basis functions, Univ. Politehn. Bucharest Sci. Bull. Ser. A 75(4) (2014) 67-76.

226- Sh.S. Behzadi, T. Allahviranloo, S. Abbasbandy. The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations, J. Intelligent & Fuzzy Systems 26(4) (2014) 1817–1822.

227- E. Shivanian, S. Abbasbandy. Predictor homotopy analysis method: Two points second order boundary value problems, Nonlinear Anal. Real World Appl. 15 (2014) 89-99.

228- M. Maleki, S.A. Madani Tonekaboni, S. Abbasbandy. A homotopy analysis solution to large deformation of beams under static arbitrary distributed load, Appl. Math. Modelling 38 (2014) 355–368.

229- A. M. Rashad, S. Abbasbandy, Ali J. Chamkha. Non-Darcy natural convection from a vertical cylinder embedded in a thermally stratified and nanofluid-saturated porous media. J. Heat Transfer 136(2) (2014) 022503.

230- M. Mustafa, S. Abbasbandy, S. Hina, T. Hayat. Numerical investigation on mixed convective peristaltic flow of fourth grade fluid with Dufour and Soret effects. J. Taiwan Inst. Chem. Eng. 45 (2014) 308-316.

231- M. Zaini Ahmad, M. Khatim Hasan, S. Abbasbandy. Solving fuzzy fractional differential equations using Zadeh's extension Principle, The Scientific World Journal, vol. 2013, Article ID 454969, 11 pages, 2013.

232- M. Ghanbari, S. Abbasbandy, T. Allahviranloo. A new approach to determine the convergence-control parameter in the application of the homotopy analysis method to systems of linear equations, Appl. Comput. Math. 12(3)3 (2013) 355--364.

233- S. Abbasbandy, T. Allahviranloo, S. Moloudzadeh. A solution of arbitrary fully fuzzy linear systems, World Appl. Sci. J. 19(12) (2012) 1731--1745. (http://www.idosi.org/wasj/wasj19(12)2012.htm).

234- S. Hina, M. Mustafa, S. Abbasbandy, T. Hayat, A. Alsaedi. Peristaltic motion of nanofluid in a curved channel, J. Heat Transfer 136(5) (2014) 052001.

235- S. Salahshour, S. Abbasbandy. A comment on "Global solutions for nonlinear fuzzy fractional integral and integro-differential equations", Commun. Nonlinear Sci. Numer. Simulat. 19 (2014) 1256-–1258.

236- M.M. Khader, Sunil Kumar, S. Abbasbandy. New homotopy analysis transform method for solving the discontinued problems arising in nanotechnology, Chin. Phys. B 22(11) (2013) 110201.

237- M. Maleki, I. Hashim, S. Abbasbandy. Pseudo-spectral methods based on nonclassical orthogonal polynomials for solving nonlinear variational problems, Int. J. Comput. Math. 91(7) (2014) 1552–1573.

238- T. Allahviranloo, S. Abbasbandy, M.R. Balooch Shahryari, S. Salahshour, D. Baleanu. On solutions of linear fractional differential equations with uncertainty, Abstract and Applied Analysis, vol. 2013, Article ID 178378, 13 pages, 2013.

239- M. Shaban, E. Shivanian, S. Abbasbandy. Analyzing magneto-hydrodynamic (MHD) squeezing flow between two parallel disks with suction or injection by a new hybrid method based on Tau method and Homotopy analysis method (HAM), European Physical J. Plus. 128 (2013) 133.

240- B. Soltanalizadeh, H. Roohani Ghehsareh, S. Abbasbandy. development of the tau method for the numerical study of a fourth-order parabolic partial differential equation, Univ. Politehn. Bucharest Sci. Bull. Ser. A 75(4) (2013) 165-176.

241- A. Kazemi Nasab, A. Kiliçman, Z. Pashazadeh Atabakan, S. Abbasbandy. Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order, Abstract and Applied Analysis, Vol. 2013, Article ID 916456, 15 pages, 2013.

242- B. Sahoo, S. Abbasbandy, S. Poncet. A brief note on the computation of the Bödewadt flow with Navier slip boundary conditions, Computers \& Fluids 90 (2014) 133-137.

243- S. Abbasbandy, H. Roohani Ghehsareh, M.S. Alhuthali, H.H. Alsulami. Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model, Eng. Anal. Bound. Elem. 39 (2014) 121-128.

244- T. Allahviranloo, S. Abbasbandy, Sh.S. Behzadi. Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method, Soft Comput. 18 (2014) 2191–2200.

245- B. Soltanalizadeh, H. Roohani Ghehsarehb, S. Abbasbandy. A super accurate shifted Tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary conditions. Appl. Math. Comput. 236 (2014) 683-692.

246- T. Allahviranloo, S. Abbasbandy, S. Hashemzehi. Approximating the solution of the linear and nonlinear fuzzy Volterra integro-differential equations using expansion method. Abstract and Applied Analysis, vol. 2014, Article ID 713892, 7 pages, 2014.

247- F. Hosseinzadeh Lotfi, Z. Taeb, S. Abbasbandy. Progress and regress of time dependent data and application in bank branch. Journal of Applied Mathematics, vol. 2014, Article ID 703969, 9 pages, 2014.

248- S. Abbasbandy, M. Yürüsoy, H. Güllüce. Analytical solutions of non-linear equations of power-law fluids of second grade over an infinite porous plate. Math. Comput. Appl. 19(2) (2014) 124-133.

249- M.S. Hashemi, S. Abbasbandy. A geometric approach for solving Troesch's problem, Bull. Malays. Math. Sci. Soc. 40 (2017) 97–116.

250- H. Roohani Ghehsareh, S. Abbasbandy, M.A. Kutbi, A. Zaghian. A comparative study between two explicit and minimal strategies for the case of magnetohydrodynamical Falkner-Skan flow over a permeable wall, Zeitschrift für Naturforschung A 69a (2014) 263-272.

251- E. Shivanian, S. Abbasbandy, M.S. Alhuthali. Exact analytical solution to the Poisson-Boltzmann equation for semiconductor devices. Eur. Phys. J. Plus (2014) 129: 104.

252- M. Nawaz, A. Zeeshan, R. Ellahi, S. Abbasbandy, S. Rashidi. Joules and Newtonian heating effects on stagnation point flow over a stretching surface by means of genetic algorithm and Nelder-Mead method, Internat. J. Numer. Methods Heat Fluid Flow 25(3) (2015) 665--684

253- S. Kumar, D. Kumar, S. Abbasbandy, M.M. Rashidi. Analytical solution of fractional Navier-Stokes equation by using modified Laplace decomposition method. Ain Shams Eng. J. 5 (2014) 569-574.

254- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim, A. Alsaedi. A comparison study of meshfree techniques for solving the two-dimensional linear hyperbolic telegraph equation. Eng. Anal. Bound. Elem. 47 (2014) 10-20.

255- H. Saberi Nik, M. Moghtadaei, S. Abbasbandy. A spectral method for the electrohydrodynamic flow in a circular cylindrical conduit, Chin. Ann. Math. Ser. B 36B(2) (2015) 307-322.

256- A.M. Rashad, S. Abbasbandy, A.J. Chamkha. Mixed convection flow of a micropolar fluid over a continuously moving vertical surface immersed in a thermally and solutally stratified medium with chemical reaction, J. Taiwan Inst. Chem. Engrs. 45 (2014) 2163-–2169.

257- J.A. Rad, K. Parand, S. Abbasbandy. Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options, Commun. Nonlinear Sci. Numer. Simulat. 22 (2015) 1178–1200.

258- M.M. Rashidi, F. Mohammadi, S. Abbasbandy, Mohammed S. Alhuthali. Entropy generation analysis for stagnation point flow in a porous medium over a permeable stretching surface.  J. Appl. Fluid Mech. 8(4) (2015) 753-765.

259- S.M. Rassoulinejad-Mousavi, S. Abbasbandy, H.H. Alsulami. Analytical flow study of a conducting Maxwell fluid through a porous saturated channel at various wall boundary conditions. Eur. Phys. J. Plus 129 (2014) 181.

260-M.M. Rashidi, B. Rostami, N. Freidoonimehr, S. Abbasbandy. Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects. Ain Shams Eng. J. 5 (2014) 901-912.

261- S. Abbasbandy, R. Naz, T. Hayat, A. Alsaedi. Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid. Appl. Math. Comput. 242 (2014) 569-575.

262- R. Ellahi, E. Shivanian, S. Abbasbandy, T. Hayat. Analysis of some magnetohydrodynamic flows of third order fluid saturating porous space, J. Porous Media 18(2) (2015) 89–98.

263- A.G. Johnpillai, F.M. Mahomed, S. Abbasbandy. Fundamental solution via invariant approach for a brain tumor model and its extensions, Zeitschrift für Naturforschung A 69a (2014) 725-732.

264- S. Abbasbandy, B. Azarnavid, M.S. Alhuthali. A shooting reproducing kernel Hilbert space method for multiple solutions of nonlinear boundary value problems, J. Comput. Appl. Math. 279 (2015) 293–305.

265- E. Shivanian, S. Abbasbandy, A. Alsaedi. Multiplicity results and closed-form solution for catalytic reaction in a flat particle. J. Taiwan Inst. Chem. Eng. 48 (2015) 49-55.

266- S. Abbasbandy, S. Kazem, M.S. Alhuthali, H.H. Alsulami. Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation, Appl. Math. Comput. 276 (2015) 31-40.

267- A. Jafarian, S. Measoomy, S. Abbasbandy. Artificial neural networks based modeling for solving Volterra integral equations system, Appl. Soft Computing 27 (2015) 391–398.

268- J.A. Rad, K. Parand, S. Abbasbandy. Pricing European and American Options Using a Very Fast and Accurate Scheme: The meshless Local Petrov-Galerkin Method. Proc. Nat. Acad. Sci. India Sect. A 85(3) (2015) 337-351.

269- A.J. Chamkha, S. Abbasbandy, A.M. Rashad. Non-Darcy natural convection flow for non-Newtonian nanofluid over cone saturated in porous medium with uniform heat and volume fraction fluxes, Internat. J. Numer. Methods Heat Fluid, 25(2) (2015) 422--437.

270- M. Maleki, I. Hashim, S. Abbasbandy, A. Alsaedi. Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method, J. Comput. Appl. Math. 283 (2015) 41–57.

271- E. Shivanian, S. Abbasbandy, M.S. Alhuthali, H.H. Alsulami. Local integration of 2-D fractional telegraph equation via moving least squares approximation, Eng. Anal. Bound. Elem. 56 (2015) 98-105.

272- E. Shivanian, H.H. Alsulami, M.S. Alhuthali, S. Abbasbandy. Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: existence of four solutions, Filomat 28:8 (2014) 1687-–1697.

273- S.Gh. Hosseini, S. Abbasbandy. Solution of Lane-Emden type equations by combination of the spectral method and Adomian decomposition method, Mathematical Problems in Engineering, Vol. 2015, Article ID 534754, 10 pages, 2015.

274- S. Abbasbandy, R.A. Van Gorder, M. Hajiketabi, M. Mesrizadeh. Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Ito system. Commun. Nonlinear Sci. Numer. Simulat.  27 (2015) 254–262.

275- S. Abbasbandy, R.A. Van Gorder, M. Hajiketabi. The Lie-group shooting method for radial symmetric solutions of the Yamabe equation. CMES: Comput. Model. Eng. Sci. 104(4) (2015) 329-351.

276- M. Shafiee, S. Abbasbandy, T. Allahviranloo. Predictor-Corrector method for nonlinear fuzzy Volterra integral equations. Aust. J. Basic Appl. Sci. 5(12) (2011) 2865-2874.

277- F. Abbasi, T. Allahviranloo, S. Abbasbandy. A new attitude coupled with fuzzy thinking to fuzzy rings and fields. J. Intelligent & Fuzzy Systems 29(2) (2015) 851–861.

278- M.S. Hashemi, S. Abbasbandy, M.S. Alhuthali, H.H. Alsulami. Conservation laws and symmetries of mKdv–KP equation. Romanian J. Phys. 60(7-8) (2015) 904-917.

279- S. Abbasbandy, B. Azarnavid. Some error estimates for the reproducing kernel Hilbert spaces method. J. Comput. Appl. Math. 296 (2016) 789–797.

280- B. Azarnavid, F. Parvaneh, S. Abbasbandy. Picard-reproducing kernel Hilbert space method for solving generalized singular nonlinear Lane-Emden type equations.  Math. Model. Anal. 20(6) (2015) 754-767.

281- H. Rouhparvar, S. Abbasbandy. Numerical solution of the uncertain characteristic Cauchy reaction-diffusion equation by variational iteration method. Walailak J. Sci. & Tech. 11(11) (2014) 987-998.

282- H. Roshanfekr Varazgahi, S. Abbasbandy. Modified fractional Euler method for solving fuzzy sequential fractional initial value problem under H-differentiability.  J. Fuzzy Set Valued Anal. Volume 2015, No. 2 (2015) 110-121.

283- A. Mushtaq, S. Abbasbandy, M. Mustafa, T. Hayat, A. Alsaedi. Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo-Christov heat flux model.  Aip Advances 6(1) (2016) 015208.

284- S. Abbasbandy, E. Shivanian, K. Vajravelu, Sunil Kumar. A new approximate analytical technique for dual solutions of nonlinear differential equations arising in mixed convection heat transfer in a porous medium, Internat. J. Numer. Methods Heat Fluid Flow 27(2) (2017) 486 – 503.

285- S. Abbasbandy, P. Bakhtiari, A. Cordero, J.R. Torregrosa, T. Lotfi. New efficient methods for solving nonlinear systems of equations with arbitrary even order. Appl. Math. Comput. 287-288 (2016) 94-103.

286- H. Vosoughi, S. Abbasbandy. Interpolation of fuzzy data by cubic and piecewise-polynomial cubic Hermites. Indian J. Sci. Technol. 9(8) (2016) 6 Pages.

287- M. Khader, Sunil Kumar, S. Abbasbandy. Fractional homotopy analysis transforms method for solving a fractional heat-like physical model. Walailak J. Sci. \& Tech. 13(5) (2016) 337--353.

288- R. Ellahi, E. Shivanian, S. Abbasbandy, T. Hayat. Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition.  Internat. J. Numer. Methods Heat Fluid Flow 26(5) (2016) 1433--1445.

289- N.F.M. Noora, R. Ul Haq, S. Abbasbandy, I. Hashim. Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption.  J. Nonlinear Sci. Appl. 9(5) (2016) 2986—3001.

290- S. Abbasbandy, E. Shivanian. Numerical simulation based on meshless technique to study the biological population model. Math. Sci. 10 (2016) 123—130.

291- M.J. Uddin, M.M. Rashidi, Hamed H. Alsulami, S. Abbasbandy, N. Freidoonimeh. Two parameters Lie group analysis and numerical solution of unsteady free convective flow of non-Newtonian fluid, Alexandria Eng. J. 55(3) (2016) 2299—2308.

292- S. Abbasbandy, R.A. Van Gorder, P. Bakhtiari. Reproducing kernel method for the numerical solution of the Brinkman–Forchheimer momentum equation, J. Comput. Appl. Math. 311 (2017) 262-271.

293- Sh. Sadigh Behzadi, B. Vahdani, T. Allahviranloo, S. Abbasbandy. Application of fuzzy Picard method for solving fuzzy quadratic Riccati and fuzzy Painleve I equations, Appl. Math. Modelling 40(17-18) (2016) 8125-8137.

294- A.K. Alomari, F. Awawdeh, S. Abbasbandy, O. Alsayyed, F. Bani Ahmad. Analysis of steady three dimensional hydromagnetic stagnation point flow towards a stretching sheet with heat generation, Ital. J. Pure Appl. Math. 36 (2016) 179-194.

295- F. Abbasi, S. Abbasbandy, J.J. Nieto. A new and efficient method for elementary fuzzy arithmetic operations on pseudo--geometric fuzzy numbers. J. Fuzzy Set Valued Anal. Volume 2016, No. 2 (2016) 156-173.

296- Z. Gouyandeh, T. Allahviranloo, S. Abbasbandy, A. Armand. A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform, Fuzzy Sets and Systems, 309 (2017) 81-97.

297- H. Vosoughi and S. Abbasbandy. Cardinal basis piecewise Hermite interpolation on fuzzy data, Advances in Fuzzy Systems, Vol. 2016 (2016) Article ID 8127215, 8 pages.

298- M Khaleghi, E. Babolian, S. Abbasbandy. Chebyshev reproducing kernel method: application to two-point boundary value problems, Advances in Difference Equations (2017) 2017:26.

299- S. Abbasbandy, E. Shivanian. Exact closed form solutions to nonlinear model of heat transfer in a straight fin, Int. J. Thermal Sci. 116 (2017) 45-51.

300- S. Abbasbandy. A new class of polynomial functions equipped with a parameter, Math. Sci. 11(2) (2017) 127-130.

301- S. Farzaneh Javan, S. Abbasbandy, M.A. Fariborzi Araghi. Application of reproducing kernel Hilbert space method for solving a class of nonlinear integral equations, Mathematical Problems in Engineering, Volume 2017, Article ID 7498136, 10 pages.

302- M. Abolhasani, S. Abbasbandy, T. Allahviranloo. A new variational iteration method for a class of fractional convection—diffusion equations in large domains, Mathematics 5(2) (2017) 26.

303- A. Armand, T. Allahviranloo, S. Abbasbandy and Z. Gouyandeh. Fractional relaxation-oscillation differential equations via fuzzy variational iteration method, Journal of Intelligent & Fuzzy Systems 32(1) (2017) 363-371.

304- M. Abolhasani, S. Abbasbandy, T. Allahviranloo. Variational iteration method for fractional wave--like and heat--like equations in large domains, Journal of Mathematical Analysis 8(2) (2017) 34-50.

305- D. Rostamy, M. Emamjome, S. Abbasbandy. A meshless technique based on the pseudospectral radial basis functions method for solving the two-dimensional hyperbolic telegraph equation, Eur. Phys. J. Plus 132 (2017) 263.

306- M. Paripour, L. Karimi, S. Abbasbandy. Differential transform method for Volterra’s population growth model, Nonlinear Studies 24(1) (2017) 227-234.

307- H. Sahihi, S. Abbasbandy, T. Allahviranloo. Reproducing kernel method for solving singularly perturbed differential-difference equations with boundary layer behavior in Hilbert space, J. Comput. Appl. Math. 328 (2018) 30-43.

308- H. Nojavan, S. Abbasbandy, T. Allahviranloo. Variable shape parameter strategy in local radial basis functions collocation method for solving the 2D nonlinear coupled Burgers’ equations, Mathematics 5(3) (2017) 38.

309- H. Farahani, M. Paripour, S. Abbasbandy. Resolution of single-variable fuzzy polynomial equations and an upper bound on the number of solutions, Soft Comput. 23(3) (2019) 837-–845.

310- S. Abbasbandy, M. Mustafa. Analytical and numerical approaches for Falkner-Skan flow of MHD Maxwell fluid using a non-Fourier heat flux model, Internat. J. Numer. Methods Heat Fluid Flow 28(7) (2018) 1539—1555.

311- A. Baseri, E. Babolian, S. Abbasbandy. Normalized Bernstein polynomials in solving space-time fractional diffusion equation, Advances in Difference Equations (2017) 2017:346.

312- M. Hajiketabi, S. Abbasbandy, F. Casas. The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains, Appl. Math. Comput. 321 (2018) 223-243.

313- E. Shivanian, S. Abbasbandy. Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method, Int. J. Nonlinear Anal. Appl. 9(2) (2018) 47—57.

314- M. Hajiketabi, S. Abbasbandy. The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: Application to the heat equation, Eng. Anal. Bound. Elem. 87 (2018) 36-46.

315- A. Baseri, S. Abbasbandy, E. Babolian. A collocation method for fractional diffusion equation in a long time with Chebyshev functions, Appl. Math. Comput. 322 (2018) 55-65.

316-  B. Azarnavid, K. Parand, S. Abbasbandy. An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition, Commun. Nonlinear Sci. Numer. Simulat. 59 (2018) 544-552.

317- M. Hajiketabi, R.A. Van Gorder, S. Abbasbandy. Closed-form exact solutions to the density dependent Fitzhugh-Nagumo telegraph equation, J. Math. Anal. 8(1) (2017) 46-69.

318- H. Nojavan, S. Abbasbandy, M. Mohammadi. Local variably scaled Newton basis functions collocation method for solving Burgers' equation, Appl. Math. Comput. 330 (2018) 23-41.

319- R.C. Aziz, I. Hashim, S. Abbasbandy. Flow and heat transfer in a nanofluid thin film over an unsteady stretching sheet, Sains Malays. 47(7) (2018) 1599-1605.

320- M. Khaleghi, M. Talebi Moghaddam, E. Babolian, S. Abbasbandy. Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique, Appl. Math. Comput. 331 (2018) 264-273.

321- P. Bakhtiari, S. Abbasbandy, R. A. Van Gorder. Solving the Dym initial value problem in reproducing kernel space. Numer. Algor. 78(2) (2018) 405–421.

322- S. Noeiaghdam, M. A. Fariborzi Araghi, S. Abbasbandy. Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic, Numer. Algor. 81 (2019) 237—267.

323- P. Bakhtiari, S. Abbasbandy, R.A. Van Gorder. Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation.  Appl. Math. Comput. 339 (2018) 132--143.

324-S. Salahshour, A. Ahmadian, S. Abbasbandy, D. Baleanu. M-fractional derivative under interval uncertainty: Theory, properties and applications, Chaos, Solitons \& Fractals 117 (2018) 84--93.

325- B. Azarnavid, M. Emamjome, M. Nabati, S. Abbasbandy. A reproducing kernel Hilbert space approach in meshless collocation method, Comput. Appl. Math. (2019) 38:72,

326- N. Gholami, T. Allahviranloo, S. Abbasbandy, N. Karamikabir. Fuzzy reproducing kernel space method for solving fuzzy boundary value problems, Math. Sci. 13(2) (2019) 97--103.

327- S. Abbasbandy, M. Mustafa, T. Hayat, A. Alsaedi. Slip effects on MHD boundary layer flow of Oldroyd‑B fluid past a stretching sheet: An analytic solution, J. Braz. Soc. Mech. Sci. Eng. 39 (2017) 3389–-3397.

328- M. Heydari, E. Shivanian, B. Azarnavid, S. Abbasbandy. An iterative multistep kernel based method for nonlinear Volterra integral and integro--differential equations of fractional order, J. Comput. Appl. Math. 361 (2019) 97-112.

329- S. Abbasbandy, E. Shivanian. The exact closed solution in the analysis of a natural convection porous fin with temperature-dependent thermal conductivity and internal heat generation, Can. J. Phys. 97(5) (2019) 566-–575.

330- H. Sahihi, s. Abbasbandy, T. Allahviranloo. Computational method based on reproducing kernel for solving singularly perturbed differential--difference equations with a delay, Appl. Math. Comput. 361 (2019) 583-–598.

331- M. Aslefallah, S. Abbasbandy, E. Shivanian. Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method, Eng. Anal. Bound. Elem. 107 (2019) 198--207.

332- S. Ziari, I. Perfilieva, S. Abbasbandy. Block-pulse functions in the method of successive approximations for nonlinear fuzzy Fredholm integral equations, Differ. Equ. Dyn. Syst. 30(4) (2022) 995-1009.

333- N. Zainalian Eskandi, S. Abbasbandy. Numerical solution of 2D Volterra--Fredholm integral equations via modification of hat Functions, Journal of Mathematical Analysis 10(5) (2019) 41—53.

334- M. Aslefallah, S. Abbasbandy, E. Shivanian. Two--dimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers problem via singular boundary method; Analysis of stability and convergence, Numer. Methods Partial Differential Eq. 36 (2020) 249--267.

335- M. Aslefallah, S. Abbasbandy, E. Shivanian. Fractional cable problem in the frame of meshless singular boundary method, Eng. Anal. Bound. Elem. 108 (2019) 124--132.

336- J. Hajishafieiha, S. Abbasbandy. A new class of polynomial functions for approximate solution of generalized Benjamin–Bona–Mahony–Burgers (gBBMB) equations, Appl. Math. Comput. 367 (2020) 124765.

337- M. Keshavarz, T. Allahviranloo, S. Abbasbandy, M.H. Modarressi. A Study of Fuzzy Methods for Solving System of Fuzzy Differential Equations, New Mathematics and Natural Computation, 17(1) (2021) 1—27.

338- M. Entezari, S. Abbasbandy, E. Babolian. Numerical solution of fractional partial differential equations with normalized Bernstein wavelet Method, Appl. Appl. Math. 14(2) (2019) 890--909.

339- J. Hajishafieiha, S. Abbasbandy. A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition, Inverse Probl. Sci. Eng. 28(5) (2020) 739—753.

340- S. Noeiaghdam, M.A. Fariborzi Araghi, S. Abbasbandy. Valid implementation of Sinc--collocation method to solve the fuzzy Fredholm integral Equation, J. Comput. Appl. Math. 370 (2020) 112632.

341- H. Sahihi, T. Allahviranloo, S. Abbasbandy. Solving system of second--order BVPs using a new algorithm based on reproducing kernel Hilbert space, Appl. Numer. Math. 151 (2020) 27-39.

342- A. Karami, S. Abbasbandy, E. Shivanian. Meshless local Petrov-–Galerkin formulation of inverse Stefan problem via moving least squares approximation, Math. Comput. Appl. 24(4) (2019) 101.

343- F. Karimi, T. Allahviranloo, S.M. Pishbin, S. Abbasbandy. Solving Riccati fuzzy differential equations, New Mathematics and Natural Computation, 17(1) (2021) 29—43.

344- Z. Shahsavari, T. Allahviranloo, S. Abbasbandy, M. Rostamy-Malkhalifeh. The traveling wave solution of the fuzzy linear partial differential equation, Appl. Appl. Math. 15(1) (2020) 408-429.

345- Kh. Sabzi, T. Allahviranloo, S. Abbasbandy. A fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equation, Soft Comput. 24 (2020) 8763-8779.

346- E. Shivanian, S. Abbasbandy. Pseudospectral meshless radial point interpolation for generalized biharmonic equation in the presence of Cahn--Hilliard conditions, Comput. Applied Math. 39(3) (2020) 148.

347- M. Aslefallah, S. Abbasbandy, E. Shivanian. Meshless singular boundary method for two—dimensional pseudo--parabolic equation: analysis of stability and convergence, J. Appl. Math. Computing 63 (2020) 585--606.

348- A. Karami, S. Abbasbandy, E. Shivanian. Inverse problem of identifying a time--dependent coefficient and free boundary in heat conduction equation by using the meshless local Petrov--Galerkin (MLPG) method via moving least squares approximation, Filomat 34(10) (2020) 3319--3337.

349- S. Abbasbandy, H. Sahihi, T. Allahviranloo. Implementing reproducing kernel method to solve singularly perturbed convection--diffusion parabolic problems, Math. Model. Anal. 26(1) (2021) 116—134.

350- M.M. Rashidi, F. Rabiei, S. Naseri Nia, S. Abbasbandy. A review: Differential transform method for semi--analytical solution of differential equations, Int. J. of Applied Mechanics and Engineering 25(2) (2020) 122--129.

351- S. Abbasbandy, E. Shivanian, K. H. AL-Jizani. On the analysis of a kind of nonlinear Sobolev equation through locally applied pseudo-spectral meshfree radial point interpolation, Numer. Methods Partial Differential Eq. 37(1) (2021) 462—478.

352- U. Mendu, D. Srinivasacharya, S. Abbasbandy, R.V.S. Mani, K. Venumadav. Free convection in a Brinkman--Darcy flow of solutal stratified micropolar fluid under radiation boundary conditions, AIP Conference Proceedings 2246, 020103 (2020); https://doi.org/10.1063/5.0014602.

353- S. khakrangin, T. Allahviranloo, N. Mikaeilvand, S. Abbasbandy. Numerical solution of fuzzy fractional differential equation by Haar wavelet, Appl. Appl. Math. 16(1) (2021) 268-288.

354- E. Qahremani, T. Allahviranloo, S. Abbasbandy, N. Ahmady. A study on the fuzzy parabolic Volterra partial integro-differential equations, J. Intelligent & Fuzzy Systems 40(1) (2021) 1639-1654.

355- S. Abbasbandy, E. Shivanian, K.H. AL-Jizani, S.N. Atluri. Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions, Eng. Anal. Bound. Elem. 125 (2021) 23-32.

356- H.R. Khodabandehlo, E. Shivanian, S. Abbasbandy. Numerical solution of nonlinear delay differential equations of fractional variable-order using a novel shifted Jacobi operational matrix, Engineering with Computers (2022) 38 S2593-S2607.

357- S. Abbasbandy, J. Hajishafieiha. Numerical solution of the time-space fractional diffusion equation with Caputo derivative in time by a-polynomial method, Appl. Appl. Math. 16(2) (2021) 881-893.

358- M.M. Rashidi, M.A. Sheremet, M. Sadri, S.R. Mishra, P.K. Pattnaik, F. Rabiei, S. Abbasbandy, H. Sahihi, E. Erfani. Semi-analytical solution of two--dimensional viscous flow through expanding/contracting gaps with permeable walls, Mathematical and Computational Applications 26(2) (2021) 41.

359- S. Abbasbandy, J. Hajishafieiha. Numerical solution of the Falkner-Skan equation: a novel numerical approach through the new rational a-polynomials, Appl. Math. Mech. 42(10) (2021) 1449-1460.

360- D. Haghighi, S. Abbasbandy, E. Shivanian, L. Dong, S.N. Atluri. The Fragile Points Method (FPM) to solve two--dimensional hyperbolic telegraph equation using  point stiffness matrices, Eng. Anal. Bound. Elem. 134 (2022) 11-21.

361- S. Abbasbandy, J. Hajishafieiha. A numerical method for an inverse problem concerning the two-dimensional diffusion equation with source control parameter by new polynomials, Sigma Journal of Engineering and Natural Sciences, 41(3) (2023) 469-480.

362- M. Aslefallah, S. Abbasbandy, S. Yuzbasi. Solving high-order nonlinear differential equations using operational matrix based on exponential collocation method, Sigma Journal of Engineering and Natural Sciences, 41(4) (2023) 689-698.

363- Kh. Sabzi, T. Allahviranloo, S. Abbasbandy. On the Properties and Applications of Fuzzy Analytic Equations, Fuzzy Sets and Systems 443(A) (2022) 241-261.

364- M. Hajiketabi, S. Abbasbandy, A fictitious time Lie-group integrator for the Brinkman-Forchheimer momentum equation modeling flow of fully developed forced convection, Computational Mathematics and Mathematical Physics, 62(9) (2022) 1527-1538.

365- M. Ghaffari, T. Allahviranloo, S. Abbasbandy, M. Azhini, Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations, Soft Computing 26(5) (2022) 2135-2146.

366- H.R. Khodabandehlo, E. Shivanian, S. Abbasbandy. A novel shifted Jacobi operational matrix method for nonlinear multi-terms delay differential equations of fractional variable-order with periodic and anti-periodic conditions, Mathematical Methods in The Applied Sciences 45(16) (2022) 10116-10135.

367- A. Rahimi, E. Shivanian, S. Abbasbandy. Analysis of new RBF-FD weights, calculated based on inverse quadratic functions, Journal of Mathematics, Vol. 2022, Article ID 3718132 (2022) 1-7.

368- H. Saky, S. Abbasbandy, E. Shivanian. Applying the reproducing kernel method to fractional differential equations with periodic conditions in Hilbert space, Journal of Mathematics, Vol. 2022, Article ID 6261378 (2022) 1-10.

369- S. Abbasbandy, J. Hajishafieiha. A new method to numerically solve fractional differential equations using a-polynomials, Int. J. Appl. Comput. Math. 8(2) (2022) 216.

370- M. Aslefallah, S. Abbasbandy, S. Yuzbasi. Numerical solution for a class of nonlinear Emden-Fowler equations by exponential collocation method, Appl. Appl. Math. 18(1) (2023) Article10, 13pages.

371- J. Hajishafieiha, S. Abbasbandy. Numerical approach for solving the fractional pantograph delay differential equations, Complexity, Vol. 2022, Article ID 4134892 (2022) 1-10.

372- N. Shahryari, T. Allahviranloo, S. Abbasbandy. Numerical method to solve a hybrid fuzzy conformable fractional differential equations, New Mathematics and Natural Computation, 18(3) (2022) 629-655.

373- D. Haghighi, S. Abbasbandy, E. Shivanian. Study of the fragile points method for solving two-dimensional linear and nonlinear wave equations on complex and cracked domains, Eng. Anal. Bound. Elem. 146 (2023) 44-55.

374- M. Aslefallah, S. Yuzbasi, S. Abbasbandy. A numerical investigation based on exponential collocation method for nonlinear SITR model of COVID-19, CMES: Comput. Model. Eng. Sci. 136(2) (2023) 1687-1706.

375- J. Hajishafieiha, S. Abbasbandy. Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using $a$-polynomials, J. Appl. Math. Comp. 69 (2023) 1945-1965.

376- N. Najafzadeh, S. Abbasbandy, E. Shivanian. Adaptive numerical method for approximation of traffic flow equations, Journal of Advanced Transportation, Volume 2022, Article ID 8208957 (2022) 1-13.

377- Z. Motamedi Pour, T. Allahviranloo, M. Afshar Kermani, S. Abbasbandy. Solving a system of linear equations based on z-numbers to determinate the market balance value, Advances in Fuzzy Systems, Volume 2023, Article ID 6353911 (2023) 1-28.

378- M. Aslefallah, S. Abbasbandy, E. Shivanian, Numerical solution for two-dimensional nonlinear Klein-Gordon equation through meshless singular boundary method, Journal of Science and Arts, 23(2) (2023) 341-354.

379- N. Shahryari, T. Allahviranloo, S. Abbasbandy. Two-dimensional Muntz–Legendre wavelet method for fuzzy hybrid differential equations, New Mathematics and Natural Computation, 19(1) (2023) 173-193.

380- T. Amoozad, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Using a new implementation of reproducing kernel Hilbert space method to solve a system of second-order BVPs, International Journal of Dynamics and Control, 12 (2024) 1694-1706.

381- T. Amoozad, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, A new approach for Solving a nonlinear system of second-order BVPs, Math. Model. Anal. 29(4) (2024) 669-683.

382- H.R. Khodabandehlo, E. Shivanian, S. Abbasbandy, A novel shifted Jacobi operational matrix method for linear multi-terms delay differential equations of fractional variable-order with periodic and anti-periodic conditions. In Press.

383- T. Amoozad, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Application of the reproducing kernel method for solving linear Volterra integral equations with variable coefficients, Physica Scripta, 99 (2004) 025246.

384- H. Rasekhinezhad, S. Abbasbandy, T. Allahviranloo, E. Babolian, Applications of new smart algorithm based on Kernel Method for Variable Fractional Functional Boundary Value Problems, International Journal of Dynamics and Control, 12(8) (2024) 2795-2802.

385- T. Amoozad, S. Abbasbandy, H. Sahihi, T. Allahviranloo, A new application of the reproducing kernel method for solving linear systems of fractional order Volterra integro-differential equations, Physica Scripta, 99 (2024) 075209.

386- S.E. Sadat Najafi, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Numerical solution of nonlinear equations of traffic flow density using spectral methods by filter,  Journal of Applied Mathematics and Computing,  71(1) (2025) 743-763.

387- S. Abbasbandy, A hybrid quantum-spectral-successive linearization method for general Lane-Emden type equations, Journal of Applied Mathematics and Computing,  71(2) (2025) 1581-1607.

388- D. Haghighi, S. Abbasbandy, Y. Guan, E. Shivanian, Application of the fragile points method for two-dimensional generalized biharmonic equation on arbitrary domains, Computational and Applied Mathematics, 44(5) (2025) 209.

389- S. Abbasbandy, Series and rational solutions of the second kind Painleve equations by using quantum pseudo-spectral method, International Journal of Mathematics and Mathematical Sciences, 2025 (2025) 9705701.

390- S.E. Sadat Najafi, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Numerical solution of nonlinear equations of traffic flow density using filter methods with middle-grid point. In Press.

 

  RESEARCH PAPERS in IRANIAN JOURNALS

1- G.R. Jahanshahloo and S. Abbasbandy. Combination of Orthogonality and Simplex Method for Solving Linear   Programming. J. Sc. (Islamic AZAD University) Vol. 2, No. 6, 1992, 151-186.

2- S. Abbasbandy and E. Babolian. Automatic Augmented Galerkin Algorithms for Linear First Kind Integral Equations: Non-Singular and Weak Singular Kernels. Bulletin of Iranian Mathematical Society, Vol. 21, No. 1, 1995, 35-62, MR 98b:65140, Zbl. 0865.65097.            

3- G. Jahanshahloo and S. Abbasbandy. Orthogonalization Process for Finding a Basic Feasible Solution (BFS). J. Sci., Teacher Training University, Vol. 7, No. 1-2, 1996, 2-8.    

4- S. Abbasbandy and E. Babolian. An Augmented Galerkin Algorithms for First Kind Integral Equations of Hammerstein   type. J. Sc., University for Teacher Education, Vol. 7, No. 1-2, 1996, 9-14.

5- S. Abbasbandy and E. Babolian. An Augmented Galerkin Method for Singular Integral Equations with Hilbert Kernel. Scientia Iranica. Vol. 4, Nos. 1   2, 1997, 60-64, MR 1 653 940, Zbl. 0963.65146.      

6- S. Abbasbandy and T. Allah Viranloo. Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method of Order 2. J. Sc. (Islamic AZAD University), Vol. 11, No. 41, 2001, 816-828. 

7- S. Abbasbandy and T. allah Viranloo. Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method. J. Sci. Teacher Training University, Vol. 1, No 3 & 4, Fall 2001 and Winter 2002, 31-43.

8- S. Abbasbandy. Fuzzy Interpolation. J. of Basic Science, Vol. 2, No. 3, 2003, 1-6.

9- S. Abbasbandy, C. Lucas and B. Asady. A new method for ranking of fuzzy numbers through using distance method, Quarterly Journal of Science, Teacher Training University, Vol. 3, 2003, 83-88.

10- S. Abbasbandy. A posteriori estimate for Tikhonov regularization parameter.  Mathematics Scientific Journal, Islamic Azad University of Arak, Vol. 1, 2005, 1-7.

 

11- S. Abbasbandy and M. Alavi. A new method for solving symmetric fuzzy linear systems.  Mathematics Scientific Journal, Islamic Azad University of Arak, Vol. 1, 2005, 55-62.

 

12- S. Abbasbandy and M. Alavi. A method for solving fuzzy linear systems. Iranian J. of Fuzzy Systems, Vol. 2, 2005, 37-43.

 

13- S.Abbasbandy and E. Ezzati. Crisp solution of a general fuzzy linear system, J. Sc. (Islamic AZAD University) Vol. 16, 2006, 19-25.

 

14- S. Abbasbandy and M. Amirfakhrian. Approximation of fuzzy functions by distance method, Mathematics Scientific Journal, Islamic Azad University of Arak, Vol. 2, 2006, 15-28.

 

15- S. Abbasbandy, M. Otadi and M. Mosleh. Ranking of fuzzy numbers by min distance, Mathematics Scientific Journal, Islamic Azad University of Arak, Vol. 2, 2006-2007, 1-14.

 

16- R. Ezzati, S. Abbasbandy. Newton's method for solving a system of dual fuzzy nonlinear equations. Mathematical Sciences, Islamic Azad University of Karaj, 1 (2007) 71-82.

 

17- S. Abbasbandy and A. Jafarian. Fixed point method for solving fuzzy nonlinear equations. J. Sc. (Islamic AZAD University), 18 (2009) 36-41.

 

18- E. Babolian, S. Abbasbandy and M. Alavi. Numerical solution of fuzzy differential inclusion by Euler method. J. Sc. (Islamic AZAD University), 18 (2009) 60-65.

 

19- S. Abbasbandy, A. Panahi, H. Rouhparvar. Solving fuzzy differential inclusions using the LU-representation of fuzzy Numbers, J. Sc. (Islamic AZAD University), 19 (2010) 79-88.

 

20- S. Abbasbandy, T. Hajjari. An Improvement in Centroid Point Method for Ranking of Fuzzy Numbers. J. Sc. (Islamic AZAD University), 20 (78/2) (2011) 109-119.

 

21- M. Mosleh, M. Otadi, S. Abbasbandy. Solution of fully fuzzy linear systems by ST method. J. Appl. Math. (Islamic Azad University -Lahijan Beanch), 8(1) (2011) 23-31.

 

22- M. Salehnegad, S. Abbasbandy, M. Mosleh, M. Otadi. Canonical representation for approximating solution of fuzzy polynomial equations, Iranian J. Optimization 3 (2010) 447-454.

 

23- S. Abbasbandy, T. Allahviranloo and M. Ghanbari. The series solutions of evolution equations by different semi-analytical methods, J. Sc. (Islamic AZAD University) 22(86.2) (2013) 34-52.

 

24- M. Otadi, M. Mosleh, S. Abbasbandy. Solving Fuzzy Linear System by Fuzzy Neural Network and Applications in Economics. J. Mathematical Extension 5(2) (2011) 47-66.

 

25- H. Behforooz, R. Ezzati, S. Abbasbandy.  Interpolation of fuzzy data by using quadratic piecewise polynomial induced form E(3) cubic splines. Mathematical Sciences 6:40 (2012) 1-5.

 

26- M. Mosleh, S. Abbasbandy, M. Otadi. A method for solving fully fuzzy linear system. Mathematics Scientific Journal, Islamic Azad University of Arak, 7(2) (2011) 59-70.

 

27- S. Abbasbandy, E. Shivanian. Effective calculation of multiple solutions of mixed convection in a porous medium.  Amirkabir J., MISC, 44(1) (2012) 1-7.

 

28- S. Abbasbandy, T. Allahviranloo, M. R. Balooch Shahryari, S. Salahshour. Fuzzy local fractional differential equations, Int. J. Industrial Math. 4(3) (2012) 231-246.

 

29- S. Abbasbandy, S. Salahshour. New results on the existing fuzzy distance measures, Iran J. Fuzzy Syst. 10 (3) (2013) 115-124.

 

30- S. Abbasbandy, K. Parand, S. Kazaem, A.R. Sanaei Kia. A numerical approach on Hiemenz ow problem using radial basis functions. Int. J. Industrial Math. 5(1) (2013) 53-63.

 

31- Sh.S. Behzadi, T. Allahviranloo, S. Abbasbandy. Application of fuzzy expansion methods for solving fuzzy Fredholm-Volterra integral equations of the first kind, Int. J. Math. Modelling \& Computations 3(1) (2013) 59-70. (http://www.ijm2c.com/index.php/ijm2c/index)

 

32- S. Abbasbandy, R. Nuraei, M. Ghanbari. Revision of sign distance method for ranking of fuzzy numbers, Iran J. Fuzzy Syst. 10(4) (2013) 101-117.

 

33- Z. Barikbin, R. Ellahi, S. Abbasbandy. The Ritz-Galerkin method for MHD Couette ow of non-Newtonian fluid, Int. J. Industrial Math. 6(3) (2014) 235-243.

 

34- S. Abbasbandy, E. Shivanian. The effects of MHD flow of third grade fluid by means of meshless local radial point interpolation (MLRPI), Int. J. Industrial Math. 7(1) (2015) 1-11.

 

35- S. Abbasbandy, P. Bakhtiari, T. Lotfi. Solving a variant of Lane-Emden equation with boundary conditions by reproducing kernel method, J. Sc. (Islamic AZAD University) 23(90.2) (2014) 27-38.

 

36- S.S. Behzadi , T. Allahviranloo, S. Abbasbandy. Fuzzy collocation methods for second--order fuzzy Abel-Volterra integro-differential equations, Iranian J. Fuzzy Syst. 11(2) (2014) 71--88.

 

 

37- S. Abbasbandy, B. Azarnavid. Shooting reproducing Kernel Hilbert space method for numerical solution of nonlinear singular boundary value problems arising in physiology. J. Sc. (Islamic AZAD University) 24(94.2) (2015) 4-13.

 

38- M. Eslaminasab, S. Abbasbandy. Study on usage of Elzaki transform for the ordinary differential equations with non-constant coefficients. Int. J. Industrial Math. 7(3) (2015) 277-281.

 

39- S.A. Hossayni, J.A. Rad, K. Parand, S. Abbasbandy. Application of the exact operational matrices for solving the Emden-Fowler equations, arising in astrophysics. Int. J. Industrial Math. 7(4) (2015) 351-374.

 

40- S. Gh. Hosseini, E. Babolian, S. Abbasbandy. A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition method.  Int. J. Industrial Math. 8(3) (2016) 177--184.

 

41- S. Abbasbandy, M. Aslefallah. Reproducing kernel Hilbert space (RKHS) method for solving singular perturbed initial value problem. Theory of Approximation and Applications, Islamic Azad University of Arak, 10(2) (2014) 1-12.

 

42- F. Abbasi, T. Allahviranloo, S. Abbasbandy. A new attitude coupled with the basic fuzzy thinking to distance between two fuzzy numbers. Iranian J. Fuzzy Syst. 13 (6) (2016) 21-39.

 

43- M. Ghasemi, B. Taghavi, S. Abbasbandy. Efficiency improvement of the structural system identification by reducing singularity of the response matrixes in inverse solution of equations of motion, Journal of Civil Engineering, Ferdowsi University of Mashhad, 28(2) (1395) 23-38.

 

44- R. Ezzati, S. Abbasbandy, H. Behforooz. Interpolation of fuzzy data by using flat end fuzzy splines, International Journal of Nonlinear Analysis and Applications 8(2) (2017) 89--97.

 

45- H. Vosoughi; S. Abbasbandy. gH-differentiable of the 2th-order functions interpolating, J. New Researches in Mathematics 2(9) (2017) 17-24.

 

46-Z. Taeb, F. Hosseinzadeh Lotfi, S. Abbasbandy. Determine the efficiency of time depended units by using data envelopment analysis, Int. J. Res. Ind. Eng. 6(3) (2017) 193—201.

 

47- F. Abbasi, T. Allahviranloo, S. Abbasbandy. A new attitude coupled with the basic thinking to ordering for ranking fuzzy numbers, Int. J. Industrial Math. 8(4) (2016) 365--375.

 

48- E. Shivanian, S. Abbasbandy, A. Khodayari. Numerical simulation of 1D linear telegraph equation with variable coefficients using meshless local radial point interpolation (MLRPI), Int. J. Industrial Math. 10(2) (2018) 151--164.

 

49- S. M. Hosseini Herat, E. Babolian, S. Abbasbandy. Numerical study of unsteady flow of gas through a porous medium by means of Chebyshev pseudo--spectral method, Int. J. Industrial Math. 10(3) (2018) 229--236.

 

50- A. Armand, T. Allahviranloo, S. Abbasbandy, Z. Gouyandeh. The fuzzy generalized Taylor's expansion with application in fractional differential equations.    Iranian J. Fuzzy Syst. 16(2) (2019) 57--72.

 

51- M. Maleki Miyane, S. Abbasbandy. An Efficient numerical method for a class of boundary value problems based on shifted Jacobi-Gauss collocation scheme. Int. J. Industrial Math. 11(1) (2019) 35--42.

 

52- P. Bassiri, P. Bakhtiari, S. Abbasbandy. A new iterative with memory class for solving nonlinear equations. Int. J. Industrial Math. 8(3) (2016) 225--229.

 

53- M. Khaleghi, E. Babolian, S. Abbasbandy. An effective numerical technique for solving second order linear two-point boundary value problems with deviating argument.  Int. J. Industrial Math. 11(4) (2019) 275--281.

 

54- H. Nojavan, S. Abbasbandy, T. Allahviranloo. Solving partial differential equations by radial basis functions with variable shape parameter, J. New Researches in Mathematics. 5(17) (2019) 17--38.

 

55- H. Sahihi, S. Abbasbandy, T. Allahviranloo. Homotopy analysis method and its application for solving singularly perturbed differential--difference equation with boundary layer behavior and delay, J. New Researches in Mathematics. 6(23) (2020) 29—38.

 

 

56- H. Sahihi, S. Abbasbandy. Homotopy analysis method and its application for

solving integro--differential equations of fractional order. In Press.

 

57- M. Hajiketabi, S. Abbasbandy. A simple, efficient and accurate new Lie--group shooting method for solving nonlinear boundary value problems, Int. J. Nonlinear Anal. Appl. 12(1) (2021) 761—781.

 

58- M. Emamjome, S. Abbasbandy, D. Rostamy. Quasi interpolation of radial basis functions--pseudospectral method for solving nonlinear Klein—Gordon and sine-Gordon equations, Iranian J. Numer. Anal. Optimization 10(1) (2020) 81—106.

 

 

59- Sahar Askari, Saeid Abbasbandy. Improved neural network and the Pontryagin’s minimum principle for solve fuzzy optimal control problems, Int. J. Industrial Math. 12(3) (2020) 303-314.

 

60- S. Ziari, S. Abbasbandy. Open fuzzy quadrature rule for nonlinear fuzzy integral equations with error approximation, Mathematical Researches 7(4) (1400) 781-796

 

61- M. Keshavarz, T. Allahviranloo, S. Abbasbandy, M.H. Modarressi. Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure, Computational Methods For Differential Equations 9(4) (2021) 919-939.

 

62- S. Farzaneh Javan, S. Abbasbandy, M. A. Fariborzi Araghi. Reproducing Kernel Hilbert space method for solving fuzzy integral equations of the second kind, J. New Researches in Mathematics 8(36) (2022) 29-42.

 

63- S. Rezabeyk, S. Abbasbandy, E. Shivanian. Solving fractional--order delay integro--differential equations using operational matrix based on fractional--order Euler polynomials, Math. Sci. 14 (2020) 97-107.

 

64- R. Ghasemi Moghaddam, S. Abbasbandy , M. Rostamy-Malkhalifeh. A study on analytical solutions of the fuzzy partial differential equation, Int. J. Industrial Math. 12(4) (2020) 419—429.

 

65- M. Dirbaz, S.Abbasbandy. A numerical algorithm for solving impulsive fuzzy initial value problem based on fuzzy methods, Int. J. Industrial Math. 13(3) (2021)

221—237.

 

66- M. Ghaffari, T. Allahviranloo, S. Abbasbandy, M. Azhini. On the Fuzzy Solutions of Time-fractional Problems, Iranian J. Fuzzy Syst. 18(3) (2021) 51-66.

 

67- S. Abbasbandy, E. Shivanian. Construction of pseudospectral meshless radial point interpolation for Sobolev equation with error analysis, Int. J. Industrial Math. 14(2) (2022) 183-195.

 

68- F. Karimi, T. Allahviranloo, S. Abbasbandy. An application of fuzzy fractional partial differential equations on heart sound signal denoising, J. New Researches in Mathematics, 7(34) (2022) 71--82.

 

69- S. Abbasbandy, H. Sahihi, T. Allahviranloo. Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems, Computational Methods for Differential Equations, 10(4) (2022) 942-953.

 

70- R. Mohammad Hosseiny, T. Allahviranloo, S. Abbasbandy, E. Babolian. Reproducing kernel method to solve non-local fractional boundary value problem, Math. Sci. 16(3) (2022) 261-268.

 

71- S. Abbasbandy, H.R. Khodabandehlo. Application of reproducing kernel Hilbert space method for generalized 1--D linear telegraph equation, Int. J. Nonlinear Anal. Appl. 13(2) (2022) 485-497.

 

72- N. Shahryari, S. Abbasbandy. Numerical Solution of second--order hybrid fuzzy differential equations by generalized differentiability, Int. J. Industrial Math. 13(4) (2021) 451-464.

 

73- N. Shahryari, T. Allahviranloo, S. Abbasbandy. The solution of fuzzy Hybrid differential equations. In Press.

 

74- M. Entezari,  S. Abbasbandy, E. Babolian. Hybrid of block--pulse and orthonormal Bernstein functions for fractional differential equations, Iranian J. Numer. Anal. Optimization 12(2) (2022) 315-333.

 

75- T. Allahviranloo, S. Abbasbandy, H. Sahihi. Reproducing kernel method to solve a class of variable delay integro--differential equations. In Press.

 

76- A. Noorafkan Zanjani, S. Abbasbandy, F. Soltanian. Solving partial--differential algebraic equations with fifth-order meshless Petrov--Galerkin method by CS--RBFS interpolation, Int. J. Nonlinear Anal. Appl. 14(3) (2023) 353-367.

 

77- D. Haghighi, S. Abbasbandy, E. Shivanian. Applying the meshless fragile points method to solve the two-dimensional linear Schrodinger equation on arbitrary domains, Iranian J. Numer. Anal. Optimization 13(1) (2023) 1-18.

 

78- H.R. Khodabandehlo, E. Shivanian, S. Abbasbandy. A novel shifted Jacobi operational matrix for solution of nonlinear fractional variable-order differential equation with proportional delays, Int. J. Industrial Math. 14(4) (2022) 415-432.

 

79- Nasim Gholami, Saeid Abbasbandy, Nasrin Karamikabir. Investigating the relationship between ordinary inner product spaces and fuzzy inner product spaces, J. New Researches in Mathematics, 8(37) (2022) 237-246.

 

80- H. Rasekhinezhad, M. Afshar Kermani, T. Allahviranloo, S. Abbasbandy, E. Babolian. The interval rational-interpolation method, Fuzzy Optimization and Modelling 3(2) (2022) 27-42.

 

81- S. Rezabeyk, S. Abbasbandy, E. Shivanian, H. Derili. A new approach to solve weakly singular fractional-order delay integro-differential equations using operational matrices, Journal of Mathematical Modeling 11(2) (2023) 257-275.

 

82- N. Abdollahi, S. Abbasbandy. Reproducing kernel method for Abel's second kind singular integral equations, Computational Mathematics and Computer Modeling with Applications 1(2) (2022) 27-34.

 

83- J. Hajishafieiha, S. Abbasbandy, T. Allahviranloo. A new numerical approach for solving the fractional nonlinear multi–pantograph delay differential equations, Iran. J. Sci. Technol. Trans. A Sci. 47(3) (2023) 825-835.

 

84- S. Rezaei Aderyani, R. Saadati, T. Allahviranloo, S. Abbasbandy, M. Catak.

Fuzzy approximation of a fractional Lorenz system and a fractional financial crisis, Iranian J. Fuzzy Syst. 20(7) (2023) 27-36.

 

85- M. Joghataee, T. Allahviranloo, F. Hosseinzadeh Lotfi, A. Ebrahimnejad, S. Abbasbandy, A. Amirteimoori, M. Catak. Solving fully linear programming problem based on Z-numbers, Iranian J. Fuzzy Syst. 20(7) (2023) 157-174.

 

86- Z. Motamedi Pour, T. Allahviranloo, M. Afshar Kermani, S. Abbasbandy. A method for ranking of Z-numbers. In Press.

 

87- S. Khakrangin, T. Allahviranloo, N. Mikaeilvand, S. Abbasbandy. On the fuzzy solution of time-fractional Cauchy reaction-diffusion equation. In Press.

 

88- H. Rasekhinezhad, S. Abbasbandy, T. Allahviranloo, E. Babolian. A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments. In Press.

 

89- T. Amoozad, S. Abbasbandy, H. Sahihi, T. Allahviranloo. Combining the reproducing kernel method with Taylor series expansion to solve systems of nonlinear fractional Volterra integro-differential equations. In Press.

 

90- N. Hosseinzadeh, E. Shivanian, S. Abbasbandy. An effective RBF-FD technique using polyharmonic splines alongside polynomials with application to pricing financial options. In Press.

 

END