Application of Conformable Fractional Differential Transform Method for Fractional Optimal Control Problems

Abstract

The formulation of fractional optimal control problems (FOCPs) yields both left and right fractional derivatives (FDs). As a result, finding an analytical solution is difficult. In literature, mostly numerical approaches have been used to solve two point boundary value problems derived from the formulation of FOCPs. In this regard, we provide an analytical solution based on conformable fractional differential transform (CFDT) method to the FOCP. A conformable fractional differential equation is used to describe the dynamic constraint. Optimal conditions for fixed terminal time and fixed terminal state FOCP are derived using Hamiltonian approach. To demonstrate the CFDT method, numerical example is taken up.