Study of HIV model via recent improved fractional differential and integral operators-Reference-Cited by-同舟云学术

Study of HIV model via recent improved fractional differential and integral operators

Published:2023 Issue:1 Volume:8 Page:1656-1671
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hyder Abd-Allah¹²,Barakat Mohamed A.³⁴,Rizk Doaa⁵,Shah Rasool⁶,Nonlaopon Kamsing⁷

Affiliation:

1. Department of Mathematics, College of Science, King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia

2. Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo 11371, Egypt

3. Department of Computer Science, College of Al Wajh, University of Tabuk, Tabuk 71491, Saudi Arabia

4. Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt

5. Department of Mathematics, College of Science and Arts, Qassim University, Al-Asyah, Saudi Arabia

6. Department of Mathematics, Abdul Wali khan university, Mardan 23200, Pakistan

7. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

<abstract><p>In this article, a new fractional mathematical model is presented to investigate the contagion of the human immunodeficiency virus (HIV). This model is constructed via recent improved fractional differential and integral operators. Other operators like Caputo, Riemann-Liouville, Katugampola, Jarad and Hadamard are being extended and generalized by these improved fractional differential and integral operators. Banach's and Leray-Schauder nonlinear alternative fixed point theorems are utilized to examine the existence and uniqueness results of the proposed fractional HIV model. Moreover, different kinds of Ulam stability for the fractional HIV model are established. It is simple to recognize that the extracted results can be reduced to some results acquired in multiple works of literature.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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