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Research Article Open access CC BY 4.0

A New Reconstraction Approach of Riccati Differential Equation for Solving a Class of Fractional Optimal Control Problems

S. Soradi Zeid, M. Yousefi

Asian Research Journal of Mathematics · pp. 1–12 · Published 3 Aug 2016

10.9734/ARJOM/2016/27606

Abstract

This paper presents a new approach for solving a class of linear quadratic fractional optimal control problems (FOCPs). The necessary optimality conditions for this problem are achieved in terms of two-point boundary value problem(TPBVP). In this way, an approximate approach is constructed based on solving a fractional Riccati differential equation (FRDE) such that the exact boundary conditions are satisfied. By solving this equation, we obtain the approximate solutions of the original problem.

Fractional optimal control problem two-point boundary value problem riccati differential equation Caputo fractional derivative

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