Study of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator

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dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgul, Ali
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:29:48Z
dc.date.available2024-12-24T19:29:48Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractHIV, like many other infections, is a severe and lethal infection. Fractal-fractional operators are frequently used in modeling numerous physical processes in the current decade. These operators provide better dynamics of a mathematical model because these are the generalization of integer and fractional-order operators. This paper aims to study the dynamics of the HIV model during primary infection by fractal-fractional Atangana-Baleanu (AB) operators. The sufficient conditions for the existence and uniqueness of the solution of the proposed model under the AB operator are derived via fixed point theory. The numerical scheme is presented by using the Adams-Bashforth method. Numerical results are demonstrated for different fractal and fractional orders to see the effect of fractional order and fractal dimension on the dynamics of HIV and CD4+ T-cells during primary infection.
dc.description.sponsorshipBasque Government [IT120719]
dc.description.sponsorshipThe authors are grateful to the Basque Government (IT120719).
dc.identifier.doi10.1155/2021/1904067
dc.identifier.issn1076-2787
dc.identifier.issn1099-0526
dc.identifier.scopus2-s2.0-85114413552
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2021/1904067
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7235
dc.identifier.volume2021
dc.identifier.wosWOS:000691117300004
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley-Hindawi
dc.relation.ispartofComplexity
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleStudy of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator
dc.typeArticle

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