The Variational Iteration Method is applied to solve Fredholm Integro-differential Equation. initial approximation was selected wisely which satisfies the condition of given numerical result analyzed with aid Mat-Lab and Maple software’s are compared exact solution show usefulness efficiency Method. results that very efficient, reliable high accuracy for solving Equation when solution.

Under investigation in this paper are two local fractional partial differential systems, one is the homogeneous linear system with initial values, and other inhomogeneous non-linear boundary values. To solve these we employ variational iteration method obtain exact solutions. It shown that provides an effective mathematical tool for solving systems