Adomian Decomposition Method for Approximated Solutions of Linear Quadratic Fractional Optimal Control Problems

In this study, Adomian decomposition method (ADM) is used for solving a class of fractional optimal control problems (FOCPs). The fractional derivative in this article is in the Caputo sense. To solve the FOCP, rst the necessary optimality conditions are achieved and then the ADM are used to solve the resulting fractional di erential equations (FDEs). The convergence of the modi ed ADM is analytically studied and to illustrate the simplicity and reliability of the method, some examples are provided.

Keywords:

Fractional optimal control problem , Caputo fractional derivatives , Adomian decomposition method , Fractional order di erential equations