A novel HIV model through fractional enlarged integral and differential operators

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...

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Autores principales: Barakat, M. A., Hyder, Abd-Allah, Almoneef, Areej A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10182053/
https://www.ncbi.nlm.nih.gov/pubmed/37173374
http://dx.doi.org/10.1038/s41598-023-34280-y
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author Barakat, M. A.
Hyder, Abd-Allah
Almoneef, Areej A.
author_facet Barakat, M. A.
Hyder, Abd-Allah
Almoneef, Areej A.
author_sort Barakat, M. A.
collection PubMed
description 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.
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spelling pubmed-101820532023-05-14 A novel HIV model through fractional enlarged integral and differential operators Barakat, M. A. Hyder, Abd-Allah Almoneef, Areej A. Sci Rep Article 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. Nature Publishing Group UK 2023-05-12 /pmc/articles/PMC10182053/ /pubmed/37173374 http://dx.doi.org/10.1038/s41598-023-34280-y Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Barakat, M. A.
Hyder, Abd-Allah
Almoneef, Areej A.
A novel HIV model through fractional enlarged integral and differential operators
title A novel HIV model through fractional enlarged integral and differential operators
title_full A novel HIV model through fractional enlarged integral and differential operators
title_fullStr A novel HIV model through fractional enlarged integral and differential operators
title_full_unstemmed A novel HIV model through fractional enlarged integral and differential operators
title_short A novel HIV model through fractional enlarged integral and differential operators
title_sort novel hiv model through fractional enlarged integral and differential operators
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10182053/
https://www.ncbi.nlm.nih.gov/pubmed/37173374
http://dx.doi.org/10.1038/s41598-023-34280-y
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