Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative

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dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgül, Ali
dc.contributor.authorAl Bayatti, Hilal
dc.date.accessioned2024-12-24T19:10:19Z
dc.date.available2024-12-24T19:10:19Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe theoretical study of fractional calculus has grown significantly during the last few years. For the theoretical analysis of fractional differential equations, primarily two methods were employed. One is the fixed point approach, which determines whether a solution exists, and the other is the functional analysis approach, which determines whether a solution is stable. This study investigates the theoretical features of HBV infection under a fractional operator with a nonsingular and nonlocal kernel. We examine the existence and uniqueness of the model’s results using the fixed point theorems of Banach and Krasnoselskii. According to the Hyres-Ulam stability studies, the HBV model’s solution is stable under the Atangana-Baleanu derivative. © 2023 NSP Natural Sciences Publishing Cor.
dc.identifier.doi10.18576/pfda/090107
dc.identifier.endpage106
dc.identifier.issn2356-9336
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85149676791
dc.identifier.scopusqualityQ2
dc.identifier.startpage99
dc.identifier.urihttps://doi.org10.18576/pfda/090107
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4033
dc.identifier.volume9
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNatural Sciences Publishing
dc.relation.ispartofProgress in Fractional Differentiation and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectfractional-order model
dc.subjectHBV infection
dc.subjectHyres-Ulam stability
dc.subjectKrasnoselskii fixed point theorem
dc.titleTheoretical Analysis of HBV Infection Under Mittag-Leffler Derivative
dc.typeArticle

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