Open AccessAnalysis of a fractional tumor-immune interaction model with exponential kernel
Author(s) -
Mustafa Dokuyucu Ali,
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.