DSpace Repository

A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

Show simple item record

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jajarmi, Amin
dc.contributor.author Sajjadi, S. S.
dc.contributor.author Mozyrska, D.
dc.date.accessioned 2020-02-12T07:11:51Z
dc.date.available 2020-02-12T07:11:51Z
dc.date.issued 2019-08
dc.identifier.citation Baleanu, D...et al. (2019). "A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator", Chaos, Vol. 29, No. 8. tr_TR
dc.identifier.issn 1054-1500
dc.identifier.uri http://hdl.handle.net/20.500.12416/2420
dc.description.abstract In this paper, we present a new fractional-order mathematical model for a tumor-immune surveillance mechanism. We analyze the interactions between various tumor cell populations and immune system via a system of fractional differential equations (FDEs). An efficient numerical procedure is suggested to solve these FDEs by considering singular and nonsingular derivative operators. An optimal control strategy for investigating the effect of chemotherapy treatment on the proposed fractional model is also provided. Simulation results show that the new presented model based on the fractional operator with Mittag-Leffler kernel represents various asymptomatic behaviors that tracks the real data more accurately than the other fractional- and integer-order models. Numerical simulations also verify the efficiency of the proposed optimal control strategy and show that the growth of the naive tumor cell population is successfully declined. Published under license by AIP Publishing. tr_TR
dc.language.iso eng tr_TR
dc.publisher Amer Inst Physics tr_TR
dc.relation.isversionof 10.1063/1.5096159 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Mathematical-Model tr_TR
dc.subject Chemotherapy tr_TR
dc.subject Immunotherapy tr_TR
dc.subject Dynamics tr_TR
dc.subject Calculus tr_TR
dc.subject System tr_TR
dc.subject HIV tr_TR
dc.title A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator tr_TR
dc.type article tr_TR
dc.relation.journal Chaos tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 29 tr_TR
dc.identifier.issue 8 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record