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Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version

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dc.contributor.author Etemad, Sina
dc.contributor.author Avci, Ibrahim
dc.contributor.author Kumar, Pushpendra
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Rezapour, Shahram
dc.date.accessioned 2024-05-14T11:14:32Z
dc.date.available 2024-05-14T11:14:32Z
dc.date.issued 2022-09
dc.identifier.citation Etemad, Sina...et al. "Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version", Chaos, Solitons and Fractals, Vol. 162. tr_TR
dc.identifier.issn 0960-0779
dc.identifier.uri http://hdl.handle.net/20.500.12416/8363
dc.description.abstract In this paper, we formulate a new model of a particular type of influenza virus called AH1N1/09 in the framework of the four classes consisting of susceptible, exposed, infectious and recovered people. For the first time, we here investigate this model with the help of the advanced operators entitled the fractal–fractional operators with two fractal and fractional orders via the power law type kernels. The existence of solution for the mentioned fractal–fractional model of AH1N1/09 is studied by some special mappings such as ϕ−ψ-contractions and ϕ-admissibles. The Leray–Schauder theorem is also applied for this aim. After investigating the stability criteria in four versions, to approximate the desired numerical solutions, we implement Adams–Bashforth (AB) scheme and simulate the graphs for different data on the fractal and fractional orders. Lastly, we convert our fractal–fractional AH1N1/09 model into a fractional model via the generalized Liouville–Caputo-type (GLC-type) operators and then, we simulate new graphs caused by the new numerical scheme called Kumar–Erturk method. © 2022 Elsevier Ltd tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.chaos.2022.112511 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Adams–Bashforth tr_TR
dc.subject Fractal–Fractional Operator tr_TR
dc.subject Kumar–Erturk Method tr_TR
dc.subject Stability tr_TR
dc.subject Virus AH1N1/09 tr_TR
dc.title Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version tr_TR
dc.type article tr_TR
dc.relation.journal Chaos, Solitons and Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 162 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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