Numerical Techniques for Fractional Competition Dynamics with Power-, Exponential- and Mittag-Leffler Laws

Owolabi, Kolade M.; Dutta, Hemen

doi:10.1007/978-3-030-12232-4_10

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2021

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Cited by 2 publications

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“…They conducted research on the regression of cancer with chemotherapy and thus the necessity to move it to a region where it controls cancer. In addition, there are many studies in the literature on mathematical modeling and its fractional derivatives [11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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

Ali

Dutta

2021

Filomat

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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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