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

Dokuyucu M. A., Dutta H.

FILOMAT, vol.35, no.6, pp.2023-2042, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.2298/fil2106023d
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.2023-2042
  • Ondokuz Mayıs University Affiliated: No

Abstract

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.