In this article, the reduced differential transform method is intro-duced to solve the nonlinear fractional model of Tumor-Immune. The frac-tional derivatives are described in the Caputo sense. The solutions derived using this method are easy and very accurate. The model is given by its signal low diagram. Moreover, a simulation of the system by the Simulink of MAT-LAB is given. The disease-free equilibrium and stability of the equilibrium point are calculated. Formulation of a fractional optimal control for the cancer model is calculated. In addition, to control the system, we propose a novel modiication of its model. This modiication is based on converting the model to a memristive one, which is a irst time in the literature that such idea is used to control this type of diseases. Also, we study the system’s stability via the Lyapunov exponents and Poincare maps before and after control. Frac-tional order differential equations (FDEs) are commonly utilized to model systems that have memory, and exist in several physical phenomena, models in thermoelasticity ield, and biological paradigms. FDEs have been utilized to model the realistic biphasic decline manner of elastic systems and infection of diseases with a slower rate of change. FDEs are more useful than integer-order in modeling sophisticated models that contain physical phenomena.