Analytic solution of fractional integro-differential equations

Abstract

This paper is focused on deriving an analytic solution for the fractional integro-differential equations, commonly used in the mathematical modeling of various physical phenomena. In this contribution, based on the homotopy analysis method, a new solution strategy for the fractional integro-differential equations is proposed. Different from all other analytic techniques, this approach provides a simple way to ensure the convergence of series of solution so that one can always get accurate enough approximations.