393857

Optimal Control Problem of Hybrid FracInt Variable-Order Mathematical Model for Covid-19 with Time Delay

Article

Last updated: 27 Apr 2025

Subjects

-

Tags

Mathematics

Abstract

This paper investigates the variable-order FracInt derivative with time delay to examine the corona-virus disease. In the present research, an issue with optimal control is presented for the combined variable-order Coronavirus FracInt Model with time delay. The Caputo derivative and the Riemann-Liouville integral are combined linearly to yield the derivative of hybrid fractional order. The definition of the variable-order derivatives is fracInt order derivatives. We provide the solutions' existence, boundedness, positivity, and reproductive number R_0. Two control factors, v_1 and v_2 are thought to lessen the risk of infection spreading to healthy people. The new hybrid variable-order operator can be approximated using the Grünwald-Letnikov approximation. The optimality system is solved using a hybrid variable-order operator combined with the non-standard finite difference approach. Lastly, the theoretical analysis of the proposed model has been supported by numerical simulations. Finally, the illness can be effectively controlled by the suggested FracInt system, as illustrated by the numerical results. In the future, we will use the FracInt variable-order operator for solving numerically epidemic model diseases such as Lumpy-Skin and Monkey-pox diseases.

DOI

10.21608/fsrt.2024.322816.1138

Keywords

Hybrid FracInt Variable-Order Operator, COVID-19 Epidemic Disease, Optimal Control Problem with Time Delay, Grünwald-Letnikov and Non-Standard Finite Difference Method

Authors

First Name

Nasser

Last Name

Sweilam

MiddleName

-

Affiliation

Cairo university, faculty of science, Cairo, Egypt

Email

nsweilam@sci.cu.edu.eg

City

Giza

Orcid

0000-0001-7428-5799

First Name

Waleed

Last Name

Abdel Kareem

MiddleName

-

Affiliation

Department of Mathematics, Faculty of science , Suez University, Egypt

Email

waleed.abdelkareem@sci.suezuni.edu.eg

City

-

Orcid

-

First Name

Seham

Last Name

AL-Mekhlafi

MiddleName

-

Affiliation

Mathematics Department, Faculty of Education, Sana’a University, Yemen

Email

smdk100@gmail.com

City

-

Orcid

-

First Name

Toba

Last Name

Soliman

MiddleName

-

Affiliation

The Higher Institute for Computer Science and Information System, Fifth Settlement, Egypt

Email

tobasoliman3@gmail.com

City

-

Orcid

-

Volume

10

Article Issue

1

Related Issue

55115

Issue Date

2025-02-01

Receive Date

2024-09-22

Publish Date

2025-02-01

Print ISSN

2682-2962

Online ISSN

2682-2970

Link

https://fsrt.journals.ekb.eg/article_393857.html

Detail API

http://journals.ekb.eg?_action=service&article_code=393857

Order

393,857

Type

Original Article

Type Code

1,029

Publication Type

Journal

Publication Title

Frontiers in Scientific Research and Technology

Publication Link

https://fsrt.journals.ekb.eg/

MainTitle

Optimal Control Problem of Hybrid FracInt Variable-Order Mathematical Model for Covid-19 with Time Delay

Details

Type

Article

Created At

27 Apr 2025