A meshless solution for fractional optimal control problems with two control variables

In this paper a solution for fractional optimal control problems (FOCPs) using radial basis functions is presented. In here, the fractional optimal control problem has two control variables which each of them has its own criteria. We use radial basis functions (RBFs) method to solve it with Caputo fractional time derivative of orders ?αε ∈ (0,1]. The minimum principle scheme is employed for reducing such problems into those consisting of systems of easily solvable algebraic equations. Several test problems are employed and results of numerical experiments are presented. The obtained results confirm the acceptable accuracy of the proposed method.

Keywords:

Collocation method , Fractional derivative , optimal control , Radial basis function