Approximate Solution of Nonlinear fractional Integro-Di erential Equations By He's Homotopy Perturbation Method And The Modi cation of He's Variational Iteration Method

Abstract

In this paper, we compare the modi cation of He's variational iteration method (MVIM), and He's homotopy perturbation method (HPM), in order to obtain the approximate solution of nonlinear frac- tional integro-di erential equations of Volterra and Fredholm integro-di erential equations, we present some examples to nd out accuracy of the methods. keywords: Fractional integro-di erential equations, Caputo derivative, modi cation of He's variational iteration method, homotopy perturbation method