On the fractional optimal control problems with a general derivative operator

A Jajarmi, D Baleanu - Asian Journal of Control, 2021 - Wiley Online Library
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 …

A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations

AH Bhrawy, MA Zaky - Journal of Computational Physics, 2015 - Elsevier
In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …

Optimal control problems with Atangana‐Baleanu fractional derivative

H Tajadodi, A Khan… - Optimal Control …, 2021 - Wiley Online Library
In this paper, we study fractional‐order optimal control problems (FOCPs) involving the
Atangana‐Baleanu fractional derivative. A computational method based on B‐spline …

Wavelets method for solving fractional optimal control problems

MH Heydari, MR Hooshmandasl, FMM Ghaini… - Applied Mathematics …, 2016 - Elsevier
In this paper, an efficient and accurate computational method based on the Legendre
wavelets (LWs) is proposed for solving a class of fractional optimal control problems …

A numerical solution for fractional optimal control problems via Bernoulli polynomials

E Keshavarz, Y Ordokhani… - Journal of Vibration and …, 2016 - journals.sagepub.com
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 …

A single layer fractional orthogonal neural network for solving various types of Lane–Emden equation

AH Hadian-Rasanan, D Rahmati, S Gorgin, K Parand - New Astronomy, 2020 - Elsevier
Lane–Emden equation is an important nonlinear singular second order differential equation
which can express various phenomena in astrophysics. On the other hand, by growing …

A neural network approach for solving a class of fractional optimal control problems

J Sabouri, S Effati, M Pakdaman - Neural Processing Letters, 2017 - Springer
In this paper the perceptron neural networks are applied to approximate the solution of
fractional optimal control problems. The necessary (and also sufficient in most cases) …

Approximation methods for solving fractional optimal control problems

SS Zeid, S Effati, AV Kamyad - Computational and Applied Mathematics, 2018 - Springer
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

A new wavelet method for variable‐order fractional optimal control problems

MH Heydari, Z Avazzadeh - Asian Journal of Control, 2018 - Wiley Online Library
In this paper, a new computational method based on the Legendre wavelets (LWs) is
proposed for solving a class of variable‐order fractional optimal control problems (V …

The Boubaker polynomials and their application to solve fractional optimal control problems

K Rabiei, Y Ordokhani, E Babolian - Nonlinear Dynamics, 2017 - Springer
In this paper, we focus on Boubaker polynomials in fractional calculus area and obtain the
operational matrix of Caputo fractional derivative and the operational matrix of the Riemann …