Analysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation

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dc.contributor.authorFarman, Muhammad
dc.contributor.authorRaza, Ali
dc.contributor.authorAkgul, Ali
dc.contributor.authorSaleem, Muhammad Umer
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorIqbal, Muhammad Sajid
dc.date.accessioned2024-12-24T19:10:19Z
dc.date.available2024-12-24T19:10:19Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, nonlinear fractional order HIV/AIDS mathematical model is discussed epidemic problems for the complex transmission of the disease. It is accepted that susceptible wind up contaminated by means of sexual contacts with infective eventually create AIDS. The point of this task was to amend transmission models recently created to represent HIV transmission and AIDS related mortality. The Caputo-Fabrizio fractional derivative operator of order ? ? (0,1) is used to obtain fractional differential equations structure. The stability fractional order model was developed and the unique non-negative solution was tested. The numerical simulations are performed using an iterative technique. Some new results are being viewed with the help of Sumudo transform. Nonetheless, according to Banach, the related findings are given nonlinear functional analysis and fixed point theory. However, mathematical simulations are also acknowledged to evaluate the impact of the model’s parameter by decreasing the fractional values and showing the effect of the b fractional parameter on our obtained solutions. The impact of various parameters is represented graphically. © 2022. NSP Natural Sciences Publishing Cor.
dc.identifier.doi10.18576/pfda/080202
dc.identifier.endpage230
dc.identifier.issn2356-9336
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85129721808
dc.identifier.scopusqualityQ2
dc.identifier.startpage217
dc.identifier.urihttps://doi.org10.18576/pfda/080202
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4036
dc.identifier.volume8
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.subjectCaputo-fabrizio derivative
dc.subjectExistence and uniqueness
dc.subjectFractional-order hiv/aids
dc.subjectSumudu transform
dc.titleAnalysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation
dc.typeArticle

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