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Comparative Study for Optimal Control Nonlinear Variable-Order Fractional Tumor Model

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dc.contributor.author Sweilam, N. H.
dc.contributor.author Al-Mekhlafi, S. M.
dc.contributor.author Alshomrani, Ali Saleh
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-18T12:09:33Z
dc.date.available 2020-05-18T12:09:33Z
dc.date.issued 2020-07
dc.identifier.citation Sweilam, N.H...et al. (2020). "Comparative Study for Optimal Control Nonlinear Variable-Order Fractional Tumor Model",Chaos, Solitons and Fractals,Vol. 136. tr_TR
dc.identifier.issn 09600779
dc.identifier.uri http://hdl.handle.net/20.500.12416/3901
dc.description.sponsorship This article presents a variable order nonlinear mathematical model and its optimal control for a Tumor under immune suppression. The formulation generalizes the one proposed by Kim et. al. consisting of eleven integer order differential equations. The new approach adopts a variable-order fractional model with the derivatives defined in the Caputo sense. Two control variables, one for immunotherapy and one for Chemotherapy, are proposed to eliminate or reduce the Tumor cells. A simple numerical technique called the nonstandard generalized Euler method is developed to solve the proposed optimal control problem. Moreover, the stability analysis and the truncation error are studied. Numerical simulations and comparative studies are implemented. Our findings disclose that the proposed scheme used here has two main advantages: it is faster than the generalized Euler scheme and it can reduce the number of Tumor cells in a proper process better than the second scheme. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier LTD. tr_TR
dc.relation.isversionof 10.1016/j.chaos.2020.109810 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Chemotherapy tr_TR
dc.subject Generalized Euler Method tr_TR
dc.subject Immunotherapy tr_TR
dc.subject Mathematical Tumor Models tr_TR
dc.subject Nonstandard Generalized Euler method tr_TR
dc.subject Variable-Order Fractional Differential Equations tr_TR
dc.title Comparative Study for Optimal Control Nonlinear Variable-Order Fractional Tumor Model 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 136 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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