Papers
1) An application of rationalized Haar functions for variational problems, Applied Mathematics and Computation, 122 (2000) 353-364.
2) Solution of differential equations via rationalized Haar functions, Mathematics and Computers in Simulation, 56(2001) 235-246.
3) Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions, Mathematical Problems in Engineering, 7 (2001) 205-219.
4) Solution for a classical problem in the calculus of variations via rationalized Haar functions, Kybernetica, 37 (5),( 2001) 575-583.
5) A rationalized Haar functions method for nonlinear Fredholm-Hammerstein integral equations, Intern. J. Computer Math., 79(3) (2002) 333-343.
6) Linear quadratic optimal control problems with inequality constraint via rationalized Haar functions, Dynamics of Continuous, Discrete and Impulsive Systems, Series B : Applications & Algorithm, 12 (2005) 761-773.
7) Solutions of nonlinear Volterra-Fredholm Hammerstein integral equations via rationalized Haar functions, Applied Mathematics and Computation, 180 (2006) 436-443.
8) An Application of hybrid of Hartley functions for variational problem, Journal of Science Teacher Training University, 5(4) (2006) 155-164.
9) Numerical solution of linear time-varying differential equations using the hybrid of block-pulse and rationalized Haar functions, Journal of Vibration and Control, 12 (2006) 1081-1092.
10) Solution of nonlinear Volterra-Fredholm- Hammerstein integral equations via a collocation method and rationalized Haar functions, Applied Mathematics Letters, 21 (2008) 4-9.
11) A collocation method for solving nonlinear differential equations via hybrid of rationalized Haar functions, Journal of Science Teacher Training University, Vol. 7, No. 3 (2007) 223-232.
12) Hybrid of rationalized Haar functions method for mixed Hammerstein integral equations, Amirkabir /MISC/vol. 41, No. 2, ( 2009) 53-57.
13( Numerical solution of nonlinear Volterra-Hammerstein integral equations using the hybrid of block-pulse and rationalized Haar functions, Applied Mathematical Sciences, Vol. 2, No. 51 (2008) 2531-2541.
14) Time variant linear systems with time varing delays, Eight Seminar of Differential Equations Dynamical Systems and Their Applications, Isfahan University of Technology, Isfahan, Iran, Julay 19-24, 2008, 233-237.
15) Solution of Fredholm-Hammerstein integral equations with Walsh-hybrid functions, International Mathematical Forum, Vol. 4, No. 20 (2009) 969-976.
16) Delay-dependent robust asymptotically stable for linear time variant systems, Amirkabir /MISC, vol. 41, No. 1 (2009) 35-40.
17) Numerical solution of nonlinear integro-differential equations, Amirkabir Journal of Science & Technology, 70 (2009) 27-32.
18) An application of Walsh function for Fredholm-Hemmerstein integro differential equations, International Journal of Contemporary Mathematical Sciences, Vol. 5, No. 22 (2010) 1055-1063.
19) Approximate solution of nonlinear Fredholm integro differential equations with time delay by using Taylor method, J. Sci. Tarbiat Moallem University, vol. 9, No. 1, (2011) 73-84.
20) Direct Walsh hybrid method for variational problems, International Journal of Nonlinear Scienec, Vol. 11, no. 1, (2011)114-120.
21) Approximate solutions of differential equations by using the Bernstein polynomials, ISRN Applied Mathematics, Vol. 2011(2011), Article ID 787694, 16 page.
22) Delay dependent α-stable linear systems with multiple time delays, Contemporary Engineering Sciences, Vol. 4, no. 4, ( 2011) 165-167.
23) Hybrid functions approach for nonlinear constrained optimal control problems, Communications in Nonlinear Science and Numerical Simulations,Vol. 17, Issu 1,(2012) 1831-1843.
24) Optimal control for delay systems by using a hybrid functions approximation, J Optim Theory Appl (2012) 153:338-356.
25) Application of the Bernstein polynomials for solving the nonlinear Fredholm integro differential equations, Journal of Applied Mathematics & Bioinformatics, Vol. 1, No. 2, (2011) 13-31.
26) Numerical solution of two-dimensional nonlinear Volterra integral equations by the Legendre polynomials, Journal of Science Teacher Training University, Vol. 11, No. 2 (2012) 195-210.
27) Stability and numerical solution of time variant linear systems with delay in both the state and control, Iranian Journal of Mathematical Sciences and Informatics, Vol. 7, No. 1, (2012) 43-57.
28) Direct method for variational problems by hybrid of block-pulse and Bernoulli polynomials, Romanian Journal of Mathematics and Computer Science, Vol. 1, (2012) 1-17.
29) A second Chebyshev polynomial approach for the wave equation subject to an integral conservation condition, Journal of Information and Computing Science,Vol. 7, No. 3 (2012) 163-167.
30) A sinc-collocation method for second-order boundary value problems of nonlinear integro-differential equation, Accepted by Journal of Information and Computing Science, Vol. 7, No. 2, (2012) 151-160.
31) Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials, Journal of Communications in Nonlinear Science and Numerical Simulation, 7 (2012) 4815-4830. (Hot paper and most downloaded)
32) Hybrid functions approach for optimal control of systems described by integro-differential equations, Applied Mathematical Modelling, 37 (2013) 3355-3368.
33) Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomial, Journal of Computational and Applied Mathematics, 242 (2013) 53-69.
34) Numerical solution of two-dimensional integral-algebric systems using Legendre functions, Numerical Analysis and Applied Mathematics ICNAAM 2012 AIP Conf. Proc. 1479, 246-249 (2012).
35) Legendre expansion methods for the numerical solution of nonlinear 2D Fredholm integral equations of the second kind, Journal of Applied Mathematics and Informatics, 31(2013), No. 5-6. pp. 609-612.
36) Tau numerical solution of the Volterra-Fredholm Hammerstein integro-differential equations with the Bernstein multi-scaling functions, Journal of Information and Computing Science, Vol. 8, No. 4,(2013) 243-255.
37) Solving Fredholm integral equations with Bernstein multi-scaling functions, Jounal of Science Kharazmi University, Vol. 13, No. 2(2013) 305-320.
38) On spectral method for Volterra functional integro-differential equations of neutral type, Numerical Functional Analysis and Optimization, 35(2), (2014)223-239.
39) A Hybrid functions approach for duffing equation, Physica Scripta, 88 (2013) 025002 (Bpp).
40) Numerical solution of Volterra-Fredholm-Hammerstein integral equations by the Tau method with the Bernstein multi-scaling functions, International Journal of Nonlinear Science, Vol. 20, No. 3(2015) 179-192.
41) Numerical solution of the nonlinear Fredholm-Volterra-Hammerstein integral equations via Bessel functions, Journal of Information and Computing Science, Vol. 9, No. 2 (2014) 123-131.
42) An application of Bessel function for solving nonlinear Fredholm-Volterra- Hammerstein integro-differential equations, Journal of Science Kharazmi University Vol. 13, No. 2 (2013) 347-362.
43) Solving fractional nonlinear Fredholm Integro-differential equations via hybrid of rationalized Haar functions, Journal of Information and Computing Science, Vol. 9, No. 3 (2014) 169-180.
44) Application of the second-kind Chebyshev polynomials for the nonlinear age-structured population models, U.P.B.Sci. Bull., Series A, Vol. 77(2015) 155-166.
45) Bernolulli wavelet operational matrix of fractional order Integration and its applications in solving the fractional order differential equations, Applied Mathematical Modeling, 38(2014) 6038-6051.
46) Numerical solution of fractional Volterra integro- differential equations via the rationalized Haar functions, Journal of Science Kharazmi University Vol. 14, No. 3 (2014) 211-224.
47) Exponential stability of linear systems with multiple time delays, Mathematical Researches (Sci. Kharazmi University) ,Vol. 2, No. 1 (2016) 69-79.
48) A numerical solution for fractional optimal control problems via Bernoulli polynomial, Journal of Vibration and Control, Vol. 22, No.18, (October 2016) 3889-3903.
49) Bernoulli wavelets method for solution of fractional differential equations in a large interval, Mathematical Researches (Sci. Kharazmi University) ,Vol. 2, No. 1 (2016) 17-32.
50) Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials, Journal of Information and Computing Science, Vol. 10, No. 3 (2015) 178-188.
51) Solving nonlinear two-dimensional Volterra integral equations of the first-kind using the bivariate shifted Legendre functions, International Journal of Mathematical modelling & Computations, Vol. 5, No. 3 (2015) 219-230.
52) Application of the hybrid functions to solve neutral delay functional differential equations, International Journal of Computer Mathematics, Vol. 94, Issue 3 (2017) 503-514.
53) Numerical solution of two-dimensional nonlinear Volterra integro- differential equations by Tau method, Journal of Information and Computing Science, Vol. 11, No. 2, (2016) 101-110.
54) Application of the Bessel-Hybrid functions for the linear Fredholm-Volterra integro-differentail equations, Romanian Journal of Mathematics and Computer Science, Vol. 5 (2015), issue 2, 164-177.
55) Numerical Solution of Volterra-Fredholm-Hammerstein Integral Equations by the Tau Method with the Bernstein Multi-scaling Functions, International Journal of Nonlinear Science, Vol. 20, No. 3 (2015) 179-192.
56) Hybrid of Rationalized Haar Functions Method for Solving Differential Equations of Fractional Order, International Journal of Mathematical modelling & Computations, Vol. 6, No. 2, (Spring 2016), 149-158.
57) Fractional-order Bernoulli wavelets and their applications, Applied Mathematical Modelling, Vol. 40 (17-18) (September 2016), 8087-8107.
58) A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations, Numerical Algorithm, Vol. 74, Issue 1, (January 2017), 223-245. (Accepted: 9 May 2016)
59) Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet, Journal of Computational and Applied Mathematics, Vol. 309, (1 Jan 2017), 493-510.
60) Numerical Solution of Linear Fredholm-Volterra Integro- Differential Equations of Fractional Order, World Journal of Modelling and Simulation, Vol. 12, No. 3 (Aug 2016) 204-216.
61) An efficient approximate method for solving delay fractional optimal control problems, Nonlinear Dynamics, Vol. 86, Issue 3, (Nov 2016), 1649-1661. (Accepted, 23 Jul 2016)
62) The Boubaker polynomials and their application to solve fractional optimal control problems, Nonlinear Dynamics, Vol. 88, Issue 2, (Apr 2017), 1013-1026. (Accepted: 12 Dec 2016)
63) An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions, Computational Methods for Differential Equations, Vol. 4, No. 4, (2016), 323-334. (Accepted: 27 Feb 2017)
64) Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems, Journal of Vibration and Control, Vol. 24(15), (2018), 3370-3383. (Accepted: 21 Mar 2017, published: 8 Aug)
65) Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions, Computational Methods for Differential Equations, Vol. 5, No. 2, (May 2017), 117-140.
66) A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations, Iranian Journal of Mathematical Sciences and Informatics, Vol. 13, No. 2, (Oct 2018) 111-132. (Accepted: 25 May 2017)
67) Numerical studies for fractional pantograph differential equations based on piecewise fractional-order Taylor functions approximations, Iranian Journal of Science and Technology,Vol. 42, Issu 4, (Dec 2018), 2131-2144. (Accepted: 4 Jun 2017)
68) Muntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations, Numerical Algorithms, Vol. 77, Issu 4, (April 2018) 1283-1305. (Accepted: 12 Jun 2017)
69) Fractional-order Bernoulli functions and their applications in solving fractional Frdholm-Volterra integro-differential equations, Applied Numerical Mathematics, Vol. 122, (Dec 2017) 66-81. (Accepted: 4 Aug 2017)
70) Generalized fractional-order Bernoulli-Legendre functions: An effective tool for solving two-dimensional fractional optimal control problems, IMA Journal of Mathematical Control and Information, Vol. 36, Issue 1, (Mar 2019) 185-212. (Accepted: 3 Sep 2017)
71) A numerical technique for solving fractional variational problems by Muntz-Legendre polynomial, Journal of Applied Mathematics and Computing, Vol. 58, (2018) 75-94. (Accepted: 7 Sep 2017).
72) Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation, International Journal of Nonlinear Analysis and Applications, Vol. 8, No. 2, (2017) 277-292.(Accepted: 26 Sep 2017, 3 Jan 2018).
73) Radial basis functions for numerical solution of parabolic partial differential equations, Computational Methods for Differential Equations, Vol. 6, No. 4, (2018) 426-437. (Accepted: 7 Nov 2017)
74) Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials, International Journal of Applied and Computational Mathematic, International Journal of Applied and Computational Mathematics, Vol. 4, Issue 1, (Feb 2018). (Accepted: 14 Nov 2017).
75) Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations, Computational and Applied Mathematics, Vol. 37, (Jul 2018) 3846-3868. (Accepted: 24 Nov 2017 ).
76) Convergence analysis of spectral method for neutral multi-pantograph equations, Iranian Journal of Science and Technology, Transactions A: Science, Vol. 43, Issue 5 (2019) 2261-2268. (Accepted: 13 Des 2017).
77) Application of Muntz-Legendre polynomials for solving the Bagley-Torvik equation in a large interval, SeMA Journal, Vol. 75, Issu 3, (Sep 2018) 517-533. (Accepted: 23 Jan 2018).
78) The Taylor wavelets method for solving the initial and boundary value problems of Bratu-type equations, Applied Numerical Mathematics, 128, (2018) 205-216. (Accepted: 2 Feb 2018).
79) Fractional-order Legendre functions and their application to solve fractional optimal control of systems described by integro-differential equations, Acta Applicandae Mathematicae, Vol. 158, No. 1, (Dec 2018) 87-106. (Accepted: 20 Mar 2018).
80) A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions, Numerical Methods for Partial Differential Equations, DOI:10.1002/num.22279, (Accepted: 18 Apr 2018).
81) Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations, Applied Mathematics and Computations, 336, (2018) 433-453. (Accepted: 5 May 2018).
82) An approximate method for solution of nonlocal boundary value problems via Gaussian radial basis functions, SeMA Journal, DOI: 10.1007/s40324-018-0165-1, (Accepted: 8 May 2018).
83) Numerical solution a class of 2D fractional optimal control problems by using 2D Muntz-Legendre wavelets, Optimal Control, Applications and Methods, DOI: 10.1002/oca.2456, (Accepted: 18 JUN 2018).
84) Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets, Computational Methods for Differential Equations, Vol. 7, No. 2, (2019) 163-176. (Accepted: 15 Aug 2018).
85) Rational wavelets and their application for solving the heat transfer equations in porous medium, International Journal of Applied and Computational Mathematics, DOI: 10.1007/s40819-018-0555-1(Accepted: 21 Aug 2018).
86) Boubaker hybrid functions and their application to solve fractional optimal control and fractional variational problems, Applications of Mathematics, Vol. 63, No. 5, (2018) 541-567. (Accepted: 30 Aug 2018)
87) Fractional -order Lagrange polynomials: An application for solving delay fractional optimal control problems, Transactions of the Institute of Measurement and Control, Vol. 41, Issue 11, (2019) 2997-3009. (Accepted: 21 Nov 2018).
88) Solving fractional pantograph delay differential equations via fractional-order Boubaker polynomials, Engineering with Computers, doi.org/10.1007/s00366-018-0673-8 (Accepted: 30 Nov 2018).
89) The Bernoulli wavelets operational matrix of integration and its applications for the solution of linear and nonlinear problems in calculus of variations, Applied Mathematics and Computation, 351 (2019) 83-98.
90) Fractional-order Fibonacci-Hybrid functions approach for solving fractional delay differential equations, Engineering with Computers, Vol. 36, Hssue 2 (2020) 795-806. (Accepted: 27 Feb 2019).
91) Hybrid functions for numerical solution of fractional Fredholm-Volterra functional integro-differential equations with proportional delays, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, DOI: 10.1002/jnm.2606, (Accepted: 22 Mar 2019).
92) A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro-differential equations with weakly singular kernels, Mathematical Methods in the Applied Sciences, Vol. 42, Issue 13 (2019) 4427-4443. (Accepted: 29 Mar 2019).
93) A numerical technique for solving various kinds of fractional partial differential equations via Genocchi hybrid functions, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, DOI: 10.1007/s13398-019-00694-5 (Accepted: 14 May 2019).
94)An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets, Applied Numerical Mathematics, 145 (2019) 1-27.
95)A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations, Computational Methods for Differential Equations,Vol. 8, No. 3 (2020) 408-423. (Accepted: 4 May 2019).
96)Application of the modified operational matrices in multi-term variable-order time fractional partial differential equations, Mathematical Methods in the Applied Sciences, Vol. 42 (2019) 7296-7313. (Accepted: 18 May 2019).
97)On the applicability of Genocchi wavelets method for different kinds of fractional order differential equations with delay, Numerical Linear Algebra with Applications, 10.1002/nla.2259 (Accepted: 31 May 2019).
98) Fractional-order general Lagrange scaling functions and their applications, BIT Numerical Mathematics, Vol. 60, Issue 1 (2020) 101-128. (Accepted: 17 Jun 2019)
99)Approximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functions, Journal of Computational and Applied Mathematics, Vol. 365 (February 2020) 112365. (Accepted: 21 Jul 2019).
100)Fibonacci wavelets and their applications for solving two classes of time-varying delay problems, Optimal Control, Applications and Methods, Vol. 41, Issue 2 (March 2020) 395-416.(Accepted: 4 Oct 2019)
101)A novel Lagrange operational matrix and Tau-Collocation method for solving variable-order fractional differential equations, Iranian Journal of Science and Technology, Transactions A: Science, Vol. 44 (2020) 127-135. (Accepted: 31 Oct 2019)
102)Fractional-order Bessel functions with various applications, Applications of Mathematics, Vol. 64, No. 6 (2019) 637-662. (Accepted: 12 Oct 2019)
103) A new operational matrix based on Boubaker wavelet for solving optimal control problems of arbitrary order, Transactions of the Institute of Measurement and Control, Vol. 42, Issue 10 (2020) 1858-1870. (Accepted: 9 Nov 2019).
104) Numerical technique for solving fractional generalized pantograph-delay differential equations by using fractional-order hybrid Bessel functions, International Journal of Applied and Computational Mathematics, Vol. 6, Issue 1 (2020). (Accepted: 6 Dec 2019)
105) The bivariate Muntz wavelets composite collocation method for solving space-time fractional partial differential equations, Computational and Applied Mathematics, DOI: 10.1007/s40314-020-01141-7 (Accepted: 12 Dec 2019)
106) کنترل کلاسی از سیستم های مرتبه کسری با تاخیر در یک ناحیه مشخص، مکانیک سازه ها و شاره ها، سال 1398/ دوره 9/ شماره 3/ صفحه 51-63. (پذیرش: 6 اکتبر 2019 )
107) Pseudo-operational matrix method for the solution of variable-order fractional partial integro-differential equations, Engineering with Computers, Vol. 37, Issue 3 (2021) 1791-1806. (Accepted: 15 Dec 2019)
108)Computational method for generalized fractional Benjamin-Bona-Mahony-Burgers equations arising from the propagation of water waves,Sadhana,Vol. 45, Issue 1(2020)Article 95.(Accepted: 12 Jan 2020)
109)Numerical solution of fractional optimal control problems with inequality constraint using the fractional-order Bernoulli wavelet functions, Iranian Journal of Science and Technology, Transactions of Electrical Engineering,DOI: 10.1007/s40998-020-00327-3 (Accepted: 24 Feb 2020).
110)Numerical solution of Volterra-Hammerstein delay integral equations, Iranian Journal of Science and Technology, Transactions A: Science, Vol. 44, Issue 2 (Apr 2020) 445-457.(Accepted: 5 March 2020).
111)Two-dimensional M\"{u}ntz-Legendre hybrid functions: Theory and applications for solving fractional-order partial differential equations, Computational and Applied Mathematics,Vol. 39, Issue 2 (2020) Article 111. (Accepted: 10 March 2020)
112)Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error, International Journal of Systems Science, Vol. 51, No. 6 (2020) 1032-1052. (Accepted: 18 Mar 2020)
113) Solving of partial differential equations with distributed order in time using fractional-order Bernolli-Legendre functins, Computational Methods for Differential Equations, Vol. 9, No. 3 (2021) 799-817.(Accepted: 4 May 2020)
114) Fractional-Lucas optimization method for evaluating the approximate solution of the multi-dimensional fractional differential equations, Engineering with Computers, Vol. 38, Issue 1 (2022) 481-495. (Accepted: 9 May 2020)
115) A numerical approach based on operational matrix for solving fractional delay differential equations, Mathematical Researches, Vol. 6, No. 4 (2021) 587-600. (Accepted: 12 Apr 2020).
116) Modified wavelet method for solving fractional variational problems, Journal of Vibration and Control, Vol. 27, Issu 5-6 (2021)582-596. (Accepted: 9 May 2020).
117) Hybrid Taylor and block-pulse functions operational matrix algorithm and its application to obtain the approximate solution of stochastic evolution equation driven by fractional Brownian motion, Communications in Nonlinear Science and Numerical Simulation, (Accepted: 13 May 2020)
118) The couple of Hermite-based approach and Crank-Nicolson scheme to approximate the solution of two dimensional stochastic diffusion-wave equation of fractional order, Engineering Analysis with Boundary Elements, Vol 118 (2020) 285-294. (Accepted: 16 May 2020)
119) Application of fractional Gegenbauer functions in variable-order fractional delay-type equations with non-singular kernel derivatives, Chaos, Solitons & Fractals, Vol. 140 (2020) Article 110111. (Accepted: 29 May 2020)
120) Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation, Mathematical Modelling and Analysis, Vol. 25, Issue 4 (2020)680-701. (Accepted: 1 June 2020)
121)Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations, Journal of Computational and Applied Mathematics, Vol. 382 (2021) Article 113070. (Accepted: 10 June 2020)
122)Fractional-order Genocchi-Petrov-Galerkin method for solving time-space fractional Fokker-Planck equations arising from the physical phenomenon, International Journal of Applied and Computational Mathematics, Vol. 6, Issue 4, (2020)Article number: 100.(Accepted, 10 June 2020)
123) Numerical solution of fractional partial differential equations by using radial basis functions combined with wavelets, Journal of Mathematical Modeling, Vol. 8, No. 4 (2020) 435-454. (Accepted: 29 Jun 2020)
124)Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis, Jounal of Vibration and Control,Vol. 27,Issue 15-16 (2021) 1778-1792.(Accepte: 13 Jul 2020)
125)The novel operational matrices based on 2D-Genocchi polynomials: Solving a general class of variable-order fractional partial integro-differential equations, Computational and Applied Mathematics, (Accepted: 20 Aug 2020)
126) Numerical investigation of distributed-order fractional optimal control problems via Bernstein wavelets, Optimal Control, Applications and Methods, Vol. 42, Issue 1 (2021)355-373.(Accepted: 22 Aug 2020)
127)Numerical solution of variable order fractional differential equations by using shifted Legendre cardinal functions and Ritz method, Engineering with Computers, Vol. 38 (2022) 1977-1984. (Accepted: 26 Sep 2020)
128)A novel direct method based on the Lucas multiwavelet functions for variable-order fractional reaction-diffusion and subdiffusion equations,Numerical Linear Algebra with Applications,Vol. 28, Issue 2 (2021) e2346. (Accepted: 12 Oct 2020)
129)A spectral framework for the solution of fractional optimal control and variational problems involving Mittag–Leffler nonsingular kernel,Journal of Vibration and Control, Vol. 28(3-4) (2022) 260-275. (Accepted: 12 Oct 2020)
130)General Lagrange-hybrid functions and numerical solution of differential equations containing piecewise constant delays with bibliometric analysis, Applied Mathematics and Computation, Vol. 395 (2021) Article number: 125847. (Accepted: 26 Nov 2020)
131)An improved numerical technique for distributed-order time-fractional diffusion equations, Numerical Methods for Partial Differential Equations, Vol. 37, Issue 3 (2021) 2490-2510. (Accepted: 9 Dec 2020)
132)A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations, International Journal of Computer Mathematics,Vol. 98, Issue 10 (2021) 2078-2096. (Accepted: 8 Jan 2021)
133)Cardinal Hermit functions and their application in solving the time-delay fractional optimal control problems, Journal of Electronical & Cyber Defence, Vol. 8, No. 4 (2021) 153-160. (Accepted: 26 Oct 2020)
134) A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations, Journal of Mathematical Modeling (JMM),Vol. 9, No.3 (2021) 501-516.(Accepted: 5 Feb 2021)
135) Orthonormal Bernoulli wavelets neural network method and its application in astrophysics, Computational and Applied Mathematics, Vol. 40, Issu 3 (2021) Article 78. (Accepted: 27 Feb 2021)
136) A spectral approach for time-fractional diffusion and subdiffusion equations in a large interval, Mathematical Modelling and Analysis, Vol. 27, Issue 1 (2022) 19-40. (Accepted: 31 Mar 2021)
137) Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena, Mathematical Sciences, (Accepted: 10 July 2021)
138) Developing the discretization method for fractal-fractional two-dimensional Fredholm-Volterra integro-differential equations, Mathematical Methods in the Applied Sciences,Vol. 44, Issue 18 (2021) 14256-14273. (Accepted: 11 July 2021)
139)Numerical solution for a class of fractional optimal control problems using the fractional-order Bernoulli functions,Transactions of the Institute of Measurement and Control, Vol. 44, Issue 8 (2022) 1635-1648. (Accepted: 11 Aug 2021)
140) An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations, Journal of Computational and Applied Mathematics, Vol. 403 (2022) Article: 113851. (Accepted: 26 Sep 2021)
141) General Lagrange scaling functions: Application in general model of variable order fractional partial differential equations, Computational and Applied Mathematics, (Accepted: 30 Sep 2021)
142) Numerical evaluation of variable-order fractional nonlinear Volterra functional-integro-differential equations with non-singular kernel derivative, Iranian Journal of Science and Technology, Transactions A: Science, Vol. 46 (2022) 405-419. (Accepted: 25 Feb 2022)
143) Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives, International Journal of Computer Mathematics, Vol. 99, No. 11 (2022) 2308-2326. (Accepted: 19 Mar 2020)
144) Composition of Euler scaling functions with the optimization method for fractional hyperbolic and reaction-diffusion equations with nonlocal boundary conditions, Numerical Functional Analysis and Optimization, Vol. 43, Issue 7 (2022) 816-837. (Accepted: 19 Mar 2022)
145) Touchard wavelets technique for solving time-fractional Black-Scholes model, Computational and Applied Mathematics, Vol. 41, Issue 4 (2022) Article: 150.(Accepted: 28 Mar 2022)
146) Application of two-dimensional Fibonacci wavelets in fractional partial differential equations arising in the financial market, International Journal of Applied and Computational Mathematics, Vol. 8, Issue 3, (2022) Article: 129. (Accepted: 14 Apr 2022)
147)An optimum method for fractal-fractional optimal control and variational problems, International Journal of Dynamics and Control, (Accepted: 14 May 2022)
148) Improvement of the spectral method for solving multi-term time-space Riesz-Caputo fractional differential equations, Journal of Applied Analysis and Computation,Vol. 12, Issue 4 (2022) 2600-2620. (Accepted: 17 May 2022)
149) Solution of optimal control problems governed by Volterra integral and fractional integro-differential equations, Jounal of Vibration add Control, (Accepted: 13 May 2022)
150) A modified numerical method based on Bernstein wavelets for numerical assessment of fractional variational and optimal control problems, Iranian Journal of Science and Technology, Transactions of Electrical Engineering, Vol. 46, Issue 4 (2022) 1041-1056.(Accepted: 19 June 2022)
151) Chelyshkov least squares support vector regression for nonlinear stochastic differential equations by variable fractional Brownian motion, Chaos, Solitons and Fractals, Vol. 163 (2022) Article 112570.(Accepted: 12 Aug 2022)
152) Dynamical behaviors of the Caputo-Prabhakar fractional chaotic satellite system, Iranian Journal of Science and Technology, Transactions A: Science, Vol. 46, Issue 5 (2022) 1445-1459. (Accepted: 28 Aug 2022)
153) Pell-Lucas discretization method for finding the solution of Caputo-Fabrizio time-fractional diffusion equations, Vietnam Journal of Mathematics, (Accepted: 25 Sep 2022)
154)A numerical study on fractional optimal control problems described by Caputo-Fabrizio fractional integro-differential equation, Optimal Control, Applications and Methods, (Accepted: 7 Nov 2022)
155) Hahn hybrid functions for solving distributed order fractional Black-Scholes European option pricing problem arising in financial market, Mathematical Methods in the Applied Sciences,Vol.46,Issue 6 (2023) 6558-6577.(Accepted: 18 Nov 2022)
156)An accurate numerical algorithm to investigate the solution of fractal-fractional partial differential equations, Rocky Mountain Journal of Mathematics (Accepted: 19 Nov 2022)
157) An optimum solution for multi-dimensional distributed-order fractional differential equations, Computational Methods for Differential Equations, (Accepted: 6 Dec 2022)
158) Solving distributed-order fractional optimal control problems via Fibonacci wavelet method, Journal of Vibration and Control, (Accepted: 9 Dec 2022)
159) Fractional-order Bernstein wavelets for solving stochastic fractional integro-differential equations, International Journal of Nonlinear Analysis and Applications, (Accepted: 27 Dec 2022)
160) Ritz-generalized Pell wavelet method: Application for two classes of fractional pantograph problems, Communications in Nonlinear Science and Numerical Simulation, Vol. 119 (2023) Article 107138. (Accepted: 25 Jan 2023)
161)Performance of Genocchi wavelet neural networks and least squares support vector regression for solving different kinds of differential equations, Computational and Applied Mathematics, Vol. 42 Issue 2 (2023) Article 71. (Accepted: 25 Jan 2023)
162)A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials, Computational Mathematics and Computer Modeling with Applications, Vol. 1 Issue 2 (2022) 65-73. (Accepted: 13 Feb 2023)
163)A numerical method based on the fractional Vieta-Fibonacci functions for a class of fractional optimal control problems, Iranian Journal of Science and Technology, Transactions of Electrical Engineering, (Accepted: 20 Feb 2023)
164)Fractional-order Mittag-Leffler functions for solving multi-dimensional fractional pantograph delay differential equations, Iranian Journal of Science, (Accepted: 4 Mar 2023)
165)Application of generalized Lucas wavelet method for solving nonlinear fractal-fractional optimal control problems, Chaos, Solitons and Fractals,Vol. 170(2023) Article 113348. (Accepted: 7 Mar 2023)
166)Hahn wav