Samaneh Soradi Zeid - Faculty of Industry and Mining (khash), University of Sistan and Baluchestan, Zahedan, Iran

Recently, fractional optimal control problems (FOCPs) has been proposed to study their numerical solutions. In this paper, we consider the FOCP with variable fractional order derivatives. The time and space derivatives are replaced by the variable-order Caputo fractional derivatives. An implicit numerical method based on the minimize of total error for the solutions are proposed. Unconditional stabilityand a special case convergence of the proposed method are proved by the mathematical induction. Some numericalexamples are given to support our theoretical analysis

Fractional optimal control problem, Variable order fractional derivative, Implicit numerical method, Minimize the total error