A Comparative study between variational iteration and adomian decemposition metheods 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

Keywords:

Variational iteration method , Adomian decomposition method , Fractional optimal control , Caputo derivative