A numerical method for partial fractional Fredholm integro-differential equations

In this paper, an expansion method based on orthonormal polynomials is presented to nd 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 coeficients 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.