Analysis of the Fractal-Fractional Modelling of Immune-Tumor Problem

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dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorRubasinghe, Kalani
dc.contributor.authorAkgül, Ali
dc.contributor.authorAkgül, Esra Karatas
dc.date.accessioned2024-12-24T19:10:14Z
dc.date.available2024-12-24T19:10:14Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractCancer is one of the biggest threats around the globe, albeit medical action has been prosperous, despite large challenges, at least for some diagnostics. A magnificent effort of personal and financial resources is dedicated, with flourishing results(but also with failures), to cancer analysis with special consideration to experimental and analytical immunology. Fractal-fractional operators have manifested the enigmatic performance of numerous natural phenoms, which ordinarily do not foretell in ordinary ones and fractional operators. In this study, we examine an Immune-Tumor dynamical system supporting the fractal-fractional frame. We authenticate the existence theory to guarantee the suggested system maintains at least one answer through Schauder’s fixed point theorem. Additionally, Banach’s fixed theory affirms the uniqueness of the answer to the aimed problem. A Non-linear functional examination was carried out to affirm that the introduced system is stable with respect to Ulam-Hyres’s theory supporting the fractal-fractional operator. Behavior of the offered problem is presented through the graphical representations, for the different amounts of fractional order and fractal orders successfully. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
dc.identifier.doi10.1007/s40819-022-01331-3
dc.identifier.issn2349-5103
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85130405685
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org10.1007/s40819-022-01331-3
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4020
dc.identifier.volume8
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofInternational Journal of Applied and Computational Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectImmune-Tumor system
dc.subjectNumerical methods
dc.subjectUlam–Hyres stability
dc.titleAnalysis of the Fractal-Fractional Modelling of Immune-Tumor Problem
dc.typeArticle

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