Analysis of a fractional tumor-immune interaction model with exponential kernel | Zendy

Mustafa Ali Dokuyucu | Zendy; Hemen Dutta | Zendy

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Analysis of a fractional tumor-immune interaction model with exponential kernel

Author(s) -

Mustafa Ali Dokuyucu,

Hemen Dutta

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2106023d

Subject(s) - mathematics , uniqueness , kernel (algebra) , fractional calculus , stability (learning theory) , derivative (finance) , exponential function , operator (biology) , mathematical analysis , pure mathematics , biochemistry , chemistry , repressor , machine learning , computer science , transcription factor , financial economics , economics , gene

In this paper, a tumor-immune interaction model has been analyzed via Caputo-Fabrizio fractional derivative operator with exponential kernel. Existence of solution of the model has been established with a fixed-point method and then it demonstrated the uniqueness of solution also. The stability of the model has been analyzed with the help of Hyers-Ulam stability approach and then numerical solution by using the Adam-Basford method. The results are further examined in detail with simulations for different fractional derivative values.

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