Numerical solution of nonlinear fractional optimal control problems using generalized Bernoulli polynomials-Reference-Cited by-同舟云学术

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Numerical solution of nonlinear fractional optimal control problems using generalized Bernoulli polynomials

Published:2021-03 Issue:4 Volume:42 Page:1045-1063
ISSN:0143-2087
Container-title:Optimal Control Applications and Methods
language:en
Short-container-title:Optim Control Appl Meth

Author:

Hassani Hossein¹^ORCID,Tenreiro Machado José António²^ORCID,Hosseini Asl Mohammad Kazem³,Dahaghin Mohammad Shafi⁴

Affiliation:

1. Faculty of Mathematics and Statistics Ton Duc Thang University Ho Chi Minh City Vietnam

2. Department of Electrical Engineering Institute of Engineering, Polytechnic of Porto Porto Portugal

3. Department of Internal Medicine School of Medicine, Shiraz University of Medical Sciences Shiraz Iran

4. Faculty of Mathematics Shahrekord University Shahrekord Iran

Publisher

Wiley

Subject

Applied Mathematics,Control and Optimization,Software,Control and Systems Engineering

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/oca.2715

Reference46 articles.

1. Applications of Fractional Calculus in Physics

2. On fractional calculus and fractional multipoles in electromagnetism

3. Fractional differential equations in electrochemistry

4. Fractional Calculus

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1. A gradient-based optimization algorithm to solve optimal control problems with conformable fractional-order derivatives;Journal of Computational and Applied Mathematics;2025-01

2. A cardinal-based numerical method for fractional optimal control problems with Caputo–Katugampola fractional derivative in a large domain;International Journal of Systems Science;2024-02-27

3. Generalized Bernoulli–Laguerre Polynomials: Applications in Coupled Nonlinear System of Variable-Order Fractional PDEs;Journal of Optimization Theory and Applications;2023-12-12

4. Application of generalized Lucas wavelet method for solving nonlinear fractal-fractional optimal control problems;Chaos, Solitons & Fractals;2023-05

5. Solvability of a nonlinear integro-differential equation with fractional order using the Bernoulli matrix approach;AIMS Mathematics;2023

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