samaneh soradi zeid - University street
mostafa yousefi - NIOPDC
S. M. Mousavi Shams Abad - Valiasr Rafsanjan University, Rafsanjan, Iran

In this paper, the optimal conditions for fractional optimal control problems (FOCPs) were derived in which the fractional differential operators defined in terms of Caputo sense and reduces this problem to a system of fractional differential equations (FDEs) that is called twopoint 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 satisfied. 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.

Fractional optimal control problem, Fractional differential equation, Legendre-Gauss collocation method