Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 489
A fractional system of the chemotherapy treatment model with the Atangana-Baleanu derivative
Fouziya Zamtain, M'Hamed Elomari, Said Melliani, Lalla Saadia Chadli
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 01, 2022
March 03, 2404
April 15, 2404

Abstract: In this work, we are going to calculate the tumor free equilibrium point FE, the coexisting equilibrium point CE, and we are going to study the stable asymptotic locality of the FE point. We are also going to study the existence and uniqueness of the solution of the tumor system of cancer treatment via chemotherapy under the fractional derivative of Atangana-Baleanu in the sense of Caputo. Moreover, we are going to apply the Adam-Bashforth numerical method developed by Abdon Atangana and Kolade M. Owolabi to this model of cancer treatment.