A space–time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives

MS Ali, M Shamsi, H Khosravian-Arab… - Journal of Vibration …, 2019 - journals.sagepub.com
We propose a direct numerical method for the solution of an optimal control problem
governed by a two-side space-fractional diffusion equation. The presented method contains …

Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation

S Li, Z Zhou - International Journal of Computer Mathematics, 2018 - Taylor & Francis
This paper presents a numerical scheme for optimal control problem governed by a time-
fractional diffusion equation based on a Legendre pseudo-spectral method for space …

Integral fractional pseudospectral methods for solving fractional optimal control problems

X Tang, Z Liu, X Wang - Automatica, 2015 - Elsevier
The main purpose of this work is to provide a unified framework and develop integral
fractional pseudospectral methods for solving fractional optimal control problems. As a …

A central difference numerical scheme for fractional optimal control problems

D Baleanu, O Defterli… - Journal of Vibration and …, 2009 - journals.sagepub.com
This paper presents a modified numerical scheme for a class of fractional optimal control
problems where a fractional derivative (FD) is defined in the Riemann—Liouville sense. In …

A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems

SS Ezz-Eldien, EH Doha, D Baleanu… - Journal of Vibration …, 2017 - journals.sagepub.com
The numerical solution of a fractional optimal control problem having a quadratic
performance index is proposed and analyzed. The performance index of the fractional …

Optimal control of a linear time-invariant space–time fractional diffusion process

N Özdemir, D Avcι - Journal of Vibration and Control, 2014 - journals.sagepub.com
This paper presents a formulation and numerical solutions of an optimal control problem of a
linear time-invariant space–time fractional diffusion equation. The main aim of this …

A direct transcription method for solving distributed-order fractional optimal control problems

R Vaziri Doghezlou, HR Tabrizidooz… - Journal of Vibration …, 2024 - journals.sagepub.com
This paper considers the numerical solution of distributed-order Fractional Optimal Control
Problems (FOCPs). The common approaches for solving these problems involve …

On the formulation and numerical simulation of distributed-order fractional optimal control problems

MA Zaky, JAT Machado - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
In a fractional optimal control problem, the integer order derivative is replaced by a fractional
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …

Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation

S Li, Z Zhou - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we mainly investigate the fractional spectral collocation discretization of
optimal control problem governed by a space-fractional diffusion equation. Existence and …

A fast second-order parareal solver for fractional optimal control problems

SL Wu, TZ Huang - Journal of Vibration and Control, 2018 - journals.sagepub.com
The gradient projection technique has recently been used to solve the optimal control
problems governed by a fractional diffusion equation. It lies in repeatedly solving the state …