A Comparative Study between Variational Iteration and Adomian Decomposition Methods for Solving Fractional Optimal Control Problems

In this article‎, ‎we compare variational iteration and modified Adomian decomposition methods for solving a class of fractional optimal control problems (FOCPs)‎. ‎ We prove that these methods use the same iterative formula for solving linear FOCPs. ‎The fractional derivative in these problems is in the Caputo sense‎. ‎To solve the problem‎, ‎first the necessary optimality conditions of FOCP are achieved for a linear tracking fractional optimal control problem and then these two methods are used to solve the resulting fractional differential equations‎. To illustrate the validity and applicability of the methods‎, ‎some examples are provided. The results reveal that these methods are very accurate and efficient.