A New Modification of Legendre-Gauss Collocation Method for Solving a Class of Fractional Optimal Control Problems

In this paper, the optimal conditions for fractional optimal control problems (FOCPs) were derived in which the fractional di erential operators de ned in terms of Caputo sense and reduces this problem to a system of fractional di erential equations (FDEs) that is called two-point boundary value (TPBV) problem. An approximate solution of this problem is constructed by using the Legendre-Gauss collocation method such that the exact boundary conditions are satis ed. Several example are given and the optimal errors are obtained for the sake of comparison. The obtained results are shown that the technique introduced here is accurate and easily applied to solve the FOCPs.