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Optimal control for variable order fractional HIV/AIDS and malaria mathematical models with multi-time delay

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dc.contributor.author Sweilam, N.H.
dc.contributor.author AL-Mekhlafi, S.M.
dc.contributor.author Mohammed, Z.N.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-12-02T08:02:46Z
dc.date.available 2022-12-02T08:02:46Z
dc.date.issued 2020-10
dc.identifier.citation Sweilam, N.H...et al. (2020). "Optimal control for variable order fractional HIV/AIDS and malaria mathematical models with multi-time delay", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3149-3162. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/5899
dc.description.abstract In this article, optimal control for variable order fractional multi-delay mathematical model for the co-infection of HIV/AIDS and malaria is presented. This model consists of twelve differential equations, where the variable order derivative are in the sense of Caputo. Three control variables are presented in this model to minimize the number of the co-infected individuals showing no symptoms of AIDS, the infected individuals with malaria, and the individuals asymptomatically infected with HIV/AIDS. Necessary conditions for the control problem are derived. The Grünwald-Letnikov nonstandard finite difference scheme is constructed to simulating the proposed optimal control system. The stability of the proposed scheme is proved. In order to validate the theoretical results numerical simulations and comparative studies are given. © 2020 Faculty of Engineering, Alexandria University tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.07.021 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Grünwald-Letnikov Nonstandard Finite Difference Method tr_TR
dc.subject HIV/AIDS and Malaria Mathematical Models tr_TR
dc.subject Optimal Control Theory tr_TR
dc.subject Variable Order Fractional Multi-Delay Differential Equations tr_TR
dc.title Optimal control for variable order fractional HIV/AIDS and malaria mathematical models with multi-time delay tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 59 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 3149 tr_TR
dc.identifier.endpage 3162 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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