Spectral tau algorithm for solving a class of fractional optimal control problems via Jacobi polynomials

Abstract

This paper is dedicated to presenting an efficient numerical algorithm for solvinga class of fractional optimal control problems (FOCPs). The basic ideabehind the suggested algorithm is based on transforming the FOCP underinvestigation into a coupled system of fractional-order differential equationswhose solutions can be expanded in terms of the Jacobi basis. With the aidof the spectral-tau method, the problem can be reduced into a system of algebraicequations which can be solved via any suitable solver. Some illustrativeexamples and comparisons are presented aiming to demonstrate the accuracy,applicability and efficiency of the proposed algorithm.