In this work, we present a numerical approach based on the shifted Legendre polynomials
for solving a class of fractional optimal control problems. The derivative is described in the …

The numerical solution of a fractional optimal control problem having a quadratic
performance index is proposed and analyzed. The performance index of the fractional …

The purpose of this study is to introduce a novel approach based on the operational matrix
of a Riemann–Liouville fractional integral of Bernoulli polynomials, in order to numerically …

In this study, a numerical method based on Hermite polynomial approximation for solving a
class of fractional optimal control problems is presented. The order of the fractional …

The aim of this paper is to propose a new formulation of the fractional optimal control
problems involving Mittag–Leffler nonsingular kernel. By using the Lagrange multiplier …

This paper deals with a general form of fractional optimal control problems involving the
fractional derivative with singular or non‐singular kernel. The necessary conditions for the …

This paper presents a new numerical method for solving fractional optimal control problems
(FOCPs). The fractional derivative in the dynamic system is described in the Caputo sense …

In this paper, we present a method for solving multi-dimensional fractional optimal control
problems. Firstly, we derive the Bernstein polynomials operational matrix for the fractional …

In this paper, a new operational matrix of integration is derived using Genocchi polynomials,
which is one of the Appell polynomials. By using the matrix, we develop an efficient, direct …

This study presents a computational method for the solution of the fractional optimal control
problems subject to fractional systems with equality and inequality constraints. The …