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Analysis of the fractional tumour-immune-vitamins model with Mittag-Leffler kernel

dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgül, Ali
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-17T08:18:35Z
dc.date.available2022-03-17T08:18:35Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractRecently, Atangana-Baleanu fractional derivative has got much attention of the researchers due to its nonlocality and non-singularity. This operator contains an accurate kernel that describes the better dynamics of systems with a memory effect. In this paper, we investigate the fractional-order tumour-immune-vitamin model (TIVM) under Mittag-Leffler derivative. The existence of at least one solution and a unique solution has discussed through fixed point results. We established the Hyres-Ulam stability of the proposed model under the Mittag-Leffler derivative. The fractional Adams-Bashforth method has used to achieve numerical results. Finally, we simulate the obtained numerical results for different fractional orders to show the effect of vitamin intervention on decreased tumour cell growth and cancer risk. At the end of the paper, the conclusion has provided.en_US
dc.description.publishedMonth12
dc.identifier.citationAhmad, Shabir...at all (2020). "Analysis of the fractional tumour-immune-vitamins model with Mittag-Leffler kernel", Results in Physics, Vol. 19.en_US
dc.identifier.doi10.1016/j.rinp.2020.103559
dc.identifier.issn2211-3797
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5142
dc.identifier.volume19en_US
dc.language.isoenen_US
dc.relation.ispartofResults in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHyres-Ulam Stabilityen_US
dc.subjectMittag–Leffler Derivativeen_US
dc.subjectFixed Point Theoremsen_US
dc.subjectAdams–Bashforth Methoden_US
dc.titleAnalysis of the fractional tumour-immune-vitamins model with Mittag-Leffler kerneltr_TR
dc.titleAnalysis of the Fractional Tumour-Immune Model With Mittag-Leffler Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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