Analysis of a Fractional Tumor-Immune Interaction Model With Exponential Kernel
FILOMAT, cilt.35, sa.6, ss.2023-2042, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 6
- Basım Tarihi: 2021
- Doi Numarası: 10.2298/fil2106023d
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.2023-2042
- Ondokuz Mayıs Üniversitesi Adresli: Hayır
Özet
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.