Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets

Abstract

We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integro-differential equations. In this method, the system of integro-differential equations shifts into the systems of the algebraic equation, which can be solved easily. Finally, some examples confirming the applicability, accuracy, and efficiency of the proposed method are given.

Keywords

• system of fractional integro-differential equations
• caputo fractional derivative
• müntz legendre method