Analysis of the Fractal-Fractional Modelling of Immune-Tumor Problem
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Cancer 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.
Açıklama
Anahtar Kelimeler
Immune-Tumor system, Numerical methods, Ulam–Hyres stability
Kaynak
International Journal of Applied and Computational Mathematics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
8
Sayı
3
