On convergence of homotopy analysis method and its application to fractional integro-differential equations

Abstract

In this paper, we have used the homotopy analysis method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM.

Keywords: Fractional integro-differential equation, homotopy analysis method, convergence control parameter

Quaestiones Mathematicae 36(2013), 93–105