Control of chaos in incommensurate fractional order discrete system

The mathematical study of the growth of a cancer tumor gives us great progress in knowing the behavior of the cancer tumor as well as taking appropriate therapeutic measures. In this article, we endeavor to investigate a mathematical model of a cancer tumor and study its stabilization. In particular, we first discritize the continuous model connected with the dynamics of cancer tumor to get the discrete model. Then we perform several numerical simulations that will show that the proposed discrete model can behave chaotically. As a result, we study the unique fixed point stability that has a physical meaning, and finally we controlled the proposed system to stabilized its dynamics at such a point.