A novel HIV model through fractional enlarged integral and differential operators

M A Barakat; Abd-Allah Hyder; Areej A Almoneef

doi:10.1038/s41598-023-34280-y

A novel HIV model through fractional enlarged integral and differential operators

Sci Rep. 2023 May 12;13(1):7764. doi: 10.1038/s41598-023-34280-y.

Authors

M A Barakat^{1

2}, Abd-Allah Hyder^{3

4}, Areej A Almoneef⁵

Affiliations

¹ Department of Computer Science, University College of Al Wajh, University of Tabuk, Tabuk, Saudi Arabia. barakat14285@yahoo.com.
² Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut, Egypt. barakat14285@yahoo.com.
³ Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, 61413, Abha, Saudi Arabia.
⁴ Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo, Egypt.
⁵ Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia.

Abstract

This article presents a novel mathematical fractional model to examine the transmission of HIV. The new HIV model is built using recently fractional enlarged differential and integral operators. The existence and uniqueness findings for the suggested fractional HIV model are investigated using Leray-Schauder nonlinear alternative (LSNA) and Banach's fixed point (BFP) theorems. Furthermore, multiple types of Ulam stability (U-S) are created for the fractional model of HIV. It is straightforward to identify that the gained findings may be decreased to many results obtained in former works of literature.

Abstract

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