An Application of Generalized Fuzzy Hyperbolic Model for Solving Fractional Optimal Control Problems with Caputo–Fabrizio Derivative

摘要

In this paper we present a new approach for solving a class of fractional optimal control problems based on generalized fuzzy hyperbolic model. The fractional derivatives are described in the Caputo–Fabrizio sense. In order to solve this problem, the necessary optimality conditions associated to the fractional optimal control problem is first derived. The solution of these conditions is then approximated by fuzzy solution based on generalized fuzzy hyperbolic model. A learning algorithm is used to achieve the adjustable parameters of the obtained fuzzy solution. In order to confirm the efficiency and accuracy of the proposed approach, some illustrative examples are implemented.