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

Dokuyucu M. A., Dutta H.

FILOMAT, cilt.35, sa.6, ss.2023-2042, 2021 (SCI-Expanded) identifier identifier

  • 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.