A numerical approach for solving fractional optimal control problems with mittag-leffler kernel

H Jafari, RM Ganji, K Sayevand… - Journal of Vibration …, 2022 - journals.sagepub.com
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 …

Goufo-Caputo fractional viscoelastic photothermal model of an unbounded semiconductor material with a cylindrical cavity

H Alfadil, AE Abouelregal, M Marin… - Mechanics of Advanced …, 2024 - Taylor & Francis
In order to describe the photothermal dynamic behavior of viscoelastic semiconductor
materials, the authors of this work propose a fractional modification of the Kelvin-Voigt type …

A numerical study on fractional optimal control problems described by Caputo‐Fabrizio fractional integro‐differential equation

H Dehestani, Y Ordokhani - Optimal Control Applications and …, 2023 - Wiley Online Library
This paper provides a numerical technique for evaluating the approximate solution of
fractional optimal control problems with the Caputo‐Fabrizio (CF) fractional integro …

An optimum method for fractal–fractional optimal control and variational problems

H Dehestani, Y Ordokhani - International Journal of Dynamics and Control, 2023 - Springer
In this paper, we design a new computational algorithm for solving fractal–fractional optimal
control and variational problems. To attain the proposed goal, we exert Pell–Lucas …

Fourier–Gegenbauer pseudospectral method for solving periodic fractional optimal control problems

KT Elgindy - Mathematics and Computers in Simulation, 2024 - Elsevier
This paper introduces a new, highly accurate model for periodic fractional optimal control
problems (PFOCPs) based on Riemann–Liouville and Caputo fractional derivatives (FDs) …

Effect of nonlocality and Goufo-Caputo kernel in heat transfer nonsimple model within an infinite-length hollow cylinder subjected to diverse sectional heat supply

N Karde, D Kamdi, V Varghese - Journal of Thermal Stresses, 2024 - Taylor & Francis
This paper aims to derive the mathematical model of modified heat conduction by utilizing
the Goufo-Caputo fractional operator in an infinite-length cylinder subjected to various time …

An efficient optimization algorithm for nonlinear 2D fractional optimal control problems

A Moradikashkooli, H Haj Seyyed Javadi… - The Journal of …, 2024 - Springer
In this research article, we present an optimization algorithm aimed at finding the optimal
solution for nonlinear 2-dimensional fractional optimal control problems that arise from …

A computational method based on the generalized Lucas polynomials for fractional optimal control problems

S Karami, A Fakharzadeh Jahromi… - Advances in Continuous …, 2022 - Springer
Nonorthogonal polynomials have many useful properties like being used as a basis for
spectral methods, being generated in an easy way, having exponential rates of …

A numerical technique for solving multi-dimensional fractional optimal control problems using fractional wavelet method

SS Ray, A Singh - arxiv preprint arxiv:2310.06570, 2023 - arxiv.org
This paper presents an efficient numerical method for solving fractional optimal control
problems using an operational matrix for a fractional wavelet. Using well-known formulae …

[PDF][PDF] EXECUTION OF A NOVEL DISCRETIZATION APPROACH FOR SOLVING VARIABLE-ORDER CAPUTO-RIESZ TIME-SPACE FRACTIONAL SCHRODINGER …

H Dehestani, Y Ordokhani… - Journal of Applied Analysis …, 2024 - jaac-online.com
This work deals with the variable-order Caputo-Riesz (VO-CR) time-space fractional
Schrödinger equations with the help of the Pell discretization method. For the first step, we …