CTED
Mathematical biology is one of the interesting research area of applied mathematics that describes the accurate
description of phenomena in biology and related health issues. The use of new mathematical tools and definitions
in this area of research will have a great impact on improving community health by controlling some diseases.
This is the best reason for doing new research using the latest tools available to us. In this work, we will make
novel numerical approaches to the immunogenetic tumour model to using differential and integral operators with
Mittag-Leffler law. To be more precise, the fractional Atangana- Baleanu derivative has been utilized in the structure of proposed model. This paper proceeds by examining and proving the convergence and uniqueness of the
solution of these equations. The Adam Bashforth’s Moulton method will then be used to solve proposed fractional
immunogenetic tumour model. Numerical simulations for the model are obtained to verify the applicability and
computational efficiency of the considered process. Similar models in this field can also be explored similarly to
what has been done in this article.