Geodesic
Analysis of a fractional tumor–immune interaction model with exponential kernel
Filomat, Tome 35 (2021) no. 6, p. 2023

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DOI

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.
DOI : 10.2298/FIL2106023D
Classification : 26A33, 34K28
Keywords: Cancer, Tumor cells, Caputo-Fabrizio fractional derivative, Numerical Approximation, Mathematical environmental models, Exponential kernel 
Mustafa Ali Dokuyucu; Hemen Dutta. Analysis of a fractional tumor–immune interaction model with exponential kernel. Filomat, Tome 35 (2021) no. 6, p. 2023 . doi: 10.2298/FIL2106023D
@article{10_2298_FIL2106023D,
     author = {Mustafa Ali Dokuyucu and Hemen Dutta},
     title = {Analysis of a fractional tumor{\textendash}immune interaction model with exponential kernel},
     journal = {Filomat},
     pages = {2023 },
     year = {2021},
     volume = {35},
     number = {6},
     doi = {10.2298/FIL2106023D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2106023D/}
}
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