A numerical method for solving delay-fractional differential and integro-differential equations

Askari Hemmat, Ataollah; Sokhanvar, Ensiyeh

doi:10.22103/jmmrc.2017.1643

A numerical method for solving delay-fractional differential and integro-differential equations

Document Type : Research Paper

Authors

Ataollah Askari hemmat ¹

Ensiyeh Sokhanvar ²

¹ Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonal University of Kerman, Kerman, Iran.

² Department of Mathematics, Faculty of Science and New Technologies, Graduate University of Advanced Technology, Kerman, Iran

10.22103/jmmrc.2017.1643

Abstract

This article develops an efficient direct method for solving numerically multi delay-fractional differential and integro-differential equations. A Galerkin method based on Legendre polynomials is implemented for solving linear and nonlinear this type of equations. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations. A convergence analysis and an error estimation is given. Numerical results with comparisons are given to confirm the reliability of the proposed method.

Keywords

Legendre polynomials

Delay-fractional differential and integro-differential equations

Galerkin method