Analysis of fractal-fractional model of tumor-immune interaction

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAkgul, Ali
dc.contributor.authorMlaiki, Nabil
dc.date.accessioned2024-12-24T19:27:36Z
dc.date.available2024-12-24T19:27:36Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractRecently, Atangana proposed new operators by combining the fractional and fractal calculus. These recently proposed operators, referred to as fractal-fractional operators, have been widely used to study the complex dynamics of a problem. Cancer is a prevalent disease today and is difficult to cure. The immune system tends to fight it as cancer sets up in the body. In this manuscript, the novel operators have been used to analyze the relationship between the immune system and cancer cells. The tumor-immune model has been studied qualitatively and quantitatively via Atangana-Baleanu fractal-fractional operator. The existence and uniqueness results of the model under Atangana-Baleanu fractal-fractional operator have proved through fixed point theorems. The Ulam-Hyres stability for the model has derived through non-linear analysis. Numerical results have developed through Lagrangian-piece wise interpolation for the different fractal-fractional operators. To visualize the relationship between immune cells and cancers cells under novel operators in a various sense, we simulate the numerical results for the different sets of fractional and fractal orders.
dc.description.sponsorshipPrince Sultan University [RG-DES-2017-01-17]
dc.description.sponsorshipThe third and the last authors would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17.
dc.identifier.doi10.1016/j.rinp.2021.104178
dc.identifier.issn2211-3797
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2021.104178
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6722
dc.identifier.volume25
dc.identifier.wosWOS:000662180100060
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
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.subjectFractal-fractional operators
dc.subjectFixed point theorems
dc.subjectUlam-Hyres stability
dc.titleAnalysis of fractal-fractional model of tumor-immune interaction
dc.typeArticle

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