A numerical method for partial fractional Fredholm integro-differential equations

Abstract

‎‎‎‎In this paper‎, ‎an expansion method based on orthonormal polynomials is presented to find the numerical solution of partial fractional Fredholm integro-differential equations (PFFIDEs)‎. ‎A PFFIDE is converted to a system of linear algebraic equations‎, ‎which is solved for the expansion coefficients of approximate solution based on orthonormal polynomials‎. ‎An estimation error is discussed and some illustrative examples are given to demonstrate the validity and applicability of the proposed method‎.