Numerical Solution of a System of Fractional Ordinary Differential Equations by a Modified Variational Iteration Procedure

Abstract

In this paper, a robust modification of the variational iteration method that gives a numerical solution for a system of linear/nonlinear differential equations of fractional order was proposed. This technique does not need the perturbation theory or linearization. The conformable fractional derivative initiated by the authors Khalil et al. is considered. The efficiency of the modified method is established via illustrative examples. For linear and nonlinear systems, the approximate solutions are in excellent agreement with the exact solutions.