ON CONVERGENCE OF HOMOTOPY ANALYSIS METHOD AND ITS APPLICATION TO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

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.

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