Approximate Solution of Fractional Integro-Differential Equations by Using Bernstein Polynomials

Abstract

In this paper, Bernstein piecewise polynomial is used to approximate thesolution of the fractional integro-differential equations, in which the fractionalderivative is described in the (Caputo) sense. Examples are considered to verify theeffectiveness of the proposed derivation, and the approximate solutions guaranteethe desired accuracy.