Analysis of a Fractional Tumor-Immune Interaction Model With Exponential Kernel

被引：3
|
作者：
Dokuyucu, Mustafa Ali [1 ]
Dutta, Hemen [2 ]
机构：
[1] Ibrahim Cecen Univ Agri, Dept Math, Agri, Turkey
[2] Gauhati Univ, Dept Math, Gauhati 781014, India
来源：
FILOMAT | 2021年 / 35卷 / 06期
关键词：
Cancer; Tumor cells; Caputo-Fabrizio fractional derivative; Numerical Approximation; Mathematical environmental models; Exponential kernel; LINEAR-MODELS; IMMUNOTHERAPY; DISSIPATION; DYNAMICS;
D O I：
10.2298/FIL2106023D
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：2023 / 2042
页数：20
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