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 …

In this work, the variational iteration method (VIM) is used to solve a class of fractional
optimal control problems (FOCPs). New Lagrange multipliers are determined and some new …

Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …

This book fills a gap in the literature by introducing numerical techniques to solve problems
of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such …

In this paper, new operational matrices for shifted Legendre orthonormal polynomial are
derived. This polynomial is used as a basis function for developing a new numerical …

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 …

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, Bernstein operational matrix of fractional derivative of order α in the Caputo
sense is derived. We also apply this matrix to the collocation method for solving multi-order …

A numerical direct method for solving a general class of fractional optimal control problems
(FOCPs) is presented. In the discussed FOCP, the fractional derivative in the dynamical …

Physical processes with memory and hereditary properties can be best described by
fractional differential equations due to the memory effect of fractional derivatives. For that …