On the Well-Posedness of a Fractional Model of HIV Infection

In this paper, we are concerned with the well-posedness of a fractional model of human immunodeficiency virus infection. Namely, using Grönwall’s lemma and Perov’s fixed point theorem, we obtain sufficient conditions for which the considered model admits a unique solution.

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Main Authors: Mohamed Jleli, Bessem Samet
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6617245
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author Mohamed Jleli
Bessem Samet
author_facet Mohamed Jleli
Bessem Samet
author_sort Mohamed Jleli
collection DOAJ
description In this paper, we are concerned with the well-posedness of a fractional model of human immunodeficiency virus infection. Namely, using Grönwall’s lemma and Perov’s fixed point theorem, we obtain sufficient conditions for which the considered model admits a unique solution.
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
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series Journal of Function Spaces
spelling doaj-art-d134477997524c6fbdf3cc086b7eb5ab2025-02-03T06:45:53ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66172456617245On the Well-Posedness of a Fractional Model of HIV InfectionMohamed Jleli0Bessem Samet1Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn this paper, we are concerned with the well-posedness of a fractional model of human immunodeficiency virus infection. Namely, using Grönwall’s lemma and Perov’s fixed point theorem, we obtain sufficient conditions for which the considered model admits a unique solution.http://dx.doi.org/10.1155/2020/6617245
spellingShingle Mohamed Jleli
Bessem Samet
On the Well-Posedness of a Fractional Model of HIV Infection
Journal of Function Spaces
title On the Well-Posedness of a Fractional Model of HIV Infection
title_full On the Well-Posedness of a Fractional Model of HIV Infection
title_fullStr On the Well-Posedness of a Fractional Model of HIV Infection
title_full_unstemmed On the Well-Posedness of a Fractional Model of HIV Infection
title_short On the Well-Posedness of a Fractional Model of HIV Infection
title_sort on the well posedness of a fractional model of hiv infection
url http://dx.doi.org/10.1155/2020/6617245
work_keys_str_mv AT mohamedjleli onthewellposednessofafractionalmodelofhivinfection
AT bessemsamet onthewellposednessofafractionalmodelofhivinfection