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A Second Order Accurate Approximation for Fractional Derivatives With Singular and Non-Singular Kernel Applied to A Hıv Model

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dc.contributor.author Arshad, Sadia
dc.contributor.author Defterli, Özlem
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-06T06:43:19Z
dc.date.available 2020-05-06T06:43:19Z
dc.date.issued 2020-05-01
dc.identifier.citation Arshad, S.; Defterli, O.; Baleanu, D.,"A Second Order Accurate Approximation for Fractional Derivatives With Singular and Non-Singular Kernel Applied to A Hıv Model", Applied Mathematics and Computation, Vol. 374, (2020). tr_TR
dc.identifier.issn 00963003
dc.identifier.uri http://hdl.handle.net/20.500.12416/3631
dc.description.abstract In this manuscript we examine the CD4+ T cells model of HIV infection under the consideration of two different fractional differentiation operators namely Caputo and Caputo-Fabrizio (CF). Moreover, the generalized HIV model is investigated by considering Reverse Transcriptase (RT) inhibitors as a drug treatment for HIV. The threshold values for the stability of the equilibrium point belonging to non-infected case are calculated for both models with and without treatment. For the numerical solutions of the studied model, we construct trapezoidal approximation schemes having second order accuracy for the approximation of fractional operators with singular and non-singular kernel. The stability and convergence of the proposed schemes are analyzed analytically. To illustrate the dynamics given by these two fractional operators, we perform numerical simulations of the HIV model for different biological scenarios with and without drug concentration. The studied biological cases are identified by considering different values of the parameters such as infection rate, growth rate of CD4+ T cells, clearance rate of virus particles and also the order of the fractional derivative. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier INC tr_TR
dc.relation.isversionof 10.1016/j.amc.2020.125061 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject CD4+ T Cells Model of HIV tr_TR
dc.subject Drug Treatment tr_TR
dc.subject Fractional Operators With Singular and Non-Singular Kernel tr_TR
dc.subject Numerical Approximationstability Analysis tr_TR
dc.title A Second Order Accurate Approximation for Fractional Derivatives With Singular and Non-Singular Kernel Applied to A Hıv Model tr_TR
dc.type article tr_TR
dc.relation.journal Applied Mathematics and Computation tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 374 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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