Numerical Method for Solving Fractional Order Optimal Control Problems with Free and Non-Free Terminal Time-Reference-Cited by-同舟云学术

Numerical Method for Solving Fractional Order Optimal Control Problems with Free and Non-Free Terminal Time

Published:2023-03-02 Issue:3 Volume:15 Page:624
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Al-Shaher Oday I.¹²,Mahmoudi M.¹,Mechee Mohammed S.³^ORCID

Affiliation:

1. Department of Mathematics, University of Qom, Qom 3716146611, Iran

2. The General Directorate of Education in Najaf, Najaf 540011, Iraq

3. Information Technology Research and Development Center (ITRDC), University of Kufa, Najaf 540011, Iraq

Abstract

The optimal control theory in mathematics aims to study the finding of control for a dynamic system over time, where an objective function is optimized. It has a broad range of applications in engineering, operations research, and science. The main purpose of this study is to provide numerical algorithms for two cases of optimal control problems of fractional order that involve fractional order derivatives with free and non-free terminal time. In addition to comparing the numerical results for three test problems with exact solutions of these problems, various computer simulations are also introduced.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/624/pdf

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