Variational Iteration Method for Solving System of Fractional Order Ordinary Differential Equations

Abstract

This paper presents approximate solutions for system of linear and nonlinear fractional order differential equations using the variational iteration method. The fractional derivatives are described in the Caputo sense, because it allows traditional initial and boundary conditions to be included in the formulation of the problem. The solutions of our models equations are calculated in the form of convergent series with easily computable components. Also, we prove the variational iteration formula and its convergence to the exact solution for solving system of fractional order differential equations. Some examples are solved as an illustration to the method, in order to show the accuracy of the method an comparison with results obtained by differential transform method and Adomian decomposition method given in author literatures .