Numerical methods for solving nonlinear fractional integro-differential equations

Abstract

In this article we present two reliable strategies for solving fractional nonlinear Volterra-Fredholm integrodifferential equation. The fractional derivative is described in the Caputo sense. The first approach depends on a modified form of Adomian decomposition method and the second one is based upon Legendre collocation method. Illustrative examples are given, and the numerical results are provided to demonstrate the efficiency of the proposed methods.