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

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Al-Mekhlafi, S. M.
dc.contributor.author Alshomrani, Ali Saleh
dc.contributor.author Baleanu, Dumitru
dc.contributor.authorID 56389 tr_TR
dc.contributor.other Matematik
dc.date.accessioned 2020-05-18T12:09:33Z
dc.date.available 2020-05-18T12:09:33Z
dc.date.issued 2020
dc.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü en_US
dc.description.publishedMonth 7
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. en_US
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. en_US
dc.identifier.doi 10.1016/j.chaos.2020.109810
dc.identifier.issn 9600779
dc.identifier.uri https://hdl.handle.net/20.500.12416/3901
dc.identifier.volume 136 en_US
dc.language.iso en en_US
dc.publisher Elsevier LTD. en_US
dc.relation.ispartof Chaos, Solitons and Fractals en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Chemotherapy en_US
dc.subject Generalized Euler Method en_US
dc.subject Immunotherapy en_US
dc.subject Mathematical Tumor Models en_US
dc.subject Nonstandard Generalized Euler method en_US
dc.subject Variable-Order Fractional Differential Equations en_US
dc.title Comparative Study for Optimal Control Nonlinear Variable-Order Fractional Tumor Model tr_TR
dc.title Comparative Study for Optimal Control Nonlinear Variable-Order Fractional Tumor Model en_US
dc.type Article en_US
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 26a93bcf-09b3-4631-937a-fe838199f6a5

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