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

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dc.authoridUllah, Aman/0000-0003-4021-3599
dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgul, Ali
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:27:36Z
dc.date.available2024-12-24T19:27:36Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
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.
dc.identifier.doi10.1016/j.rinp.2020.103559
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85096993133
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2020.103559
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6719
dc.identifier.volume19
dc.identifier.wosWOS:000605630800013
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectHyres-Ulam stability
dc.subjectMittag-Leffler derivative
dc.subjectFixed point theorems
dc.subjectAdams-Bashforth method
dc.titleAnalysis of the fractional tumour-immune-vitamins model with Mittag-Leffler kernel
dc.typeArticle

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