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Oscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection model

dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorSaifullah, Sayed
dc.contributor.authorAkgül, Ali
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-05-02T11:53:25Z
dc.date.available2024-05-02T11:53:25Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
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.en_US
dc.identifier.citationAhmad, Shabir;...et.al. (2022). "Oscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection model", AIMS Mathematics, Vol.7, No.3, pp.4778-4792.en_US
dc.identifier.doi10.3934/math.2022265
dc.identifier.endpage4792en_US
dc.identifier.issn24736988
dc.identifier.issue3en_US
dc.identifier.startpage4778en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8128
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo-Fabrizio Derivativeen_US
dc.subjectChaotic Behavioren_US
dc.subjectFixed Point Theoryen_US
dc.subjectPicard Iterationen_US
dc.titleOscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection modeltr_TR
dc.titleOscillatory and Complex Behaviour of Caputo-Fabrizio Fractional Order Hiv-1 Infection Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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