Optimal and Memristor-Based Control of A Nonlinear Fractional Tumor-Immune Model

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