A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations
In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …
method for multi-term time–space fractional differential equation with Dirichlet boundary …
A new Legendre operational technique for delay fractional optimal control problems
AH Bhrawy, SS Ezz-Eldien - Calcolo, 2016 - Springer
In this paper, new operational matrices for shifted Legendre orthonormal polynomial are
derived. This polynomial is used as a basis function for developing a new numerical …
derived. This polynomial is used as a basis function for developing a new numerical …
Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation
In this study, for the first time, the approximate solution of Black–Scholes option pricing
distributed order time-fractional partial differential equation by means of Legendre and …
distributed order time-fractional partial differential equation by means of Legendre and …
A novel Legendre operational matrix for distributed order fractional differential equations
M Pourbabaee, A Saadatmandi - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, for the first time, the shifted Legendre operational matrix of distributed order
fractional derivative has been derived. Also, this new operational matrix is used together …
fractional derivative has been derived. Also, this new operational matrix is used together …
A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials
The aim of this paper is to investigate, from the numerical point of view, the Jacobi
polynomials to solve fractional variational problems (FVPs) and fractional optimal control …
polynomials to solve fractional variational problems (FVPs) and fractional optimal control …
A fractional spectral method with applications to some singular problems
In this paper we propose and analyze fractional spectral methods for a class of integro-
differential equations and fractional differential equations. The proposed methods make new …
differential equations and fractional differential equations. The proposed methods make new …
A spectral framework for fractional variational problems based on fractional Jacobi functions
A family of orthogonal systems of fractional functions is introduced. The proposed orthogonal
systems are based on Jacobi polynomials through a fractional coordinate transform. This …
systems are based on Jacobi polynomials through a fractional coordinate transform. This …
A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional …
K Maleknejad, J Rashidinia… - Numerical Methods for …, 2021 - Wiley Online Library
The aim of this paper is to present a new and efficient numerical method to approximate the
solutions of two‐dimensional nonlinear fractional Fredholm and Volterra integral equations …
solutions of two‐dimensional nonlinear fractional Fredholm and Volterra integral equations …
[HTML][HTML] Wavelet approximation scheme for distributed order fractional differential equations
This paper is concerned with the study of wavelet approximation scheme based on
Legendre and Chebyshev wavelets for finding the approximate solutions of distributed order …
Legendre and Chebyshev wavelets for finding the approximate solutions of distributed order …
RKM for solving Bratu‐type differential equations of fractional order
The purpose of the present paper is to propose an efficient numerical method for solving the
differential equations of Bratu‐type with fractional order in reproducing kernel Hilbert space …
differential equations of Bratu‐type with fractional order in reproducing kernel Hilbert space …