NUMERICAL APPROXIMATION OF SINGULARMULTI-ORDER FRACTIONAL VOLTERRAINTEGRO-DIFFERENTIAL EQUATIONS BY LEAST SQUARESAND AKBARI-GANJI’S METHODS

Abstract

This article is concerned with the numerical solution of singular multi-order fractional Volterra integro-differential equations. Two numerical methods are proposed; Least Squares and Akbari-Ganji’s Methods using Legendre polynomials as basis functions. The proposed methods were demonstrated on some examples to verify their practicability and the results obtained
were very close to the exact solution.