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Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains

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dc.contributor.author Sweilam, N. H.
dc.contributor.author Al-Mekhlafi, S. M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-01-13T11:31:04Z
dc.date.available 2020-01-13T11:31:04Z
dc.date.issued 2019-05
dc.identifier.citation Sweilam, N. H.; AL-Mekhlafi, S. M.; Baleanu, D., "Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains", Journal of Advanced Research, Vol. 17, pp. 125-137, (May 2019). tr_TR
dc.identifier.issn 2090-1232
dc.identifier.uri http://hdl.handle.net/20.500.12416/2331
dc.description.abstract The objective of this paper is to study the optimal control problem for the fractional tuberculosis (TB) infection model including the impact of diabetes and resistant strains. The governed model consists of 14 fractional-order (FO) equations. Four control variables are presented to minimize the cost of interventions. The fractional derivative is defined in the Atangana-Baleanu-Caputo (ABC) sense. New numerical schemes for simulating a FO optimal system with Mittag-Leffler kernels are presented. These schemes are based on the fundamental theorem of fractional calculus and Lagrange polynomial interpolation. We introduce a simple modification of the step size in the two-step Lagrange polynomial interpolation to obtain stability in a larger region. Moreover, necessary and sufficient conditions for the control problem are considered. Some numerical simulations are given to validate the theoretical results. (C) 2019 The Authors. Published by Elsevier B.V. on behalf of Cairo University. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier Science BV tr_TR
dc.relation.isversionof 10.1016/j.jare.2019.01.007 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Tuberculosis Model tr_TR
dc.subject Diabetes and Resistant Strains tr_TR
dc.subject Atangana-Baleanu Fractional Derivative tr_TR
dc.subject Lagrange Polynomial Interpolation tr_TR
dc.subject Nonstandard Two-Step Lagrange Interpolation Method tr_TR
dc.title Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Advanced Research tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 17 tr_TR
dc.identifier.startpage 125 tr_TR
dc.identifier.endpage 137 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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