Oscillatory and complex behaviour of Caputo-Fabrizio fractional order HIV-1 infection model

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridSaifullah, Sayed/0000-0002-0050-209X
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorSaifullah, Sayed
dc.contributor.authorAkgul, Ali
dc.contributor.authorJarad, Fahd
dc.date.accessioned2024-12-24T19:33:59Z
dc.date.available2024-12-24T19:33:59Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractHIV-1 infection is a dangerous diseases like Cancer, AIDS, etc. Many mathematical models have been introduced in the literature, which are investigated with different approaches. In this article, we generalize the HIV-1 model through nonsingular fractional operator. The non-integer mathematical model of HIV-1 infection under the Caputo-Fabrizio derivative is presented in this paper. The concept of Picard-Lindelof and fixed-point theory are used to address the existence of a unique solution to the HIV-1 model under the suggested operator. Also, the stability of the suggested model is proved through the Picard iteration and fixed point theory approach. The model's approximate solution is constructed through three steps Adams-Bashforth numerical method. Numerical simulations are provided for different values of fractional-order to study the complex dynamics of the model. Lastly, we provide the oscillatory and chaotic behavior of the proposed model for various fractional orders.
dc.identifier.doi10.3934/math.2022265
dc.identifier.endpage4792
dc.identifier.issn2473-6988
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85121700844
dc.identifier.scopusqualityQ1
dc.identifier.startpage4778
dc.identifier.urihttps://doi.org/10.3934/math.2022265
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8377
dc.identifier.volume7
dc.identifier.wosWOS:000753846000032
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectPicard iteration
dc.subjectfixed point theory
dc.subjectCaputo-Fabrizio derivative
dc.subjectchaotic behavior
dc.titleOscillatory and complex behaviour of Caputo-Fabrizio fractional order HIV-1 infection model
dc.typeArticle

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