Abstract

This paper is focused at constructing an analytic-numeric solution based on fractional power series expansion for the fractional integro-differential equations of Volterra type by using residual power series approach. This RPS method gives approximate solutions in convergent series formula with surely computable components. Illustrative numerical example is included to demonstrate efficiency, accuracy, and applicability of the RPS method. Numerical results obtained indicate that the exact solution in good agreement with approximate solutions.

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