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    ARTICLE

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

    Amr M. S. Mahdy1,2,*, Mahmoud Higazy1,3, Mohamed S. Mohamed1,4

    CMC-Computers, Materials & Continua, Vol.67, No.3, pp. 3463-3486, 2021, DOI:10.32604/cmc.2021.015161 - 01 March 2021

    Abstract In this article, the reduced differential transform method is introduced to solve the nonlinear fractional model of Tumor-Immune. The fractional 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 flow diagram. Moreover, a simulation of the system by the Simulink of MATLAB 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 modification of… More >

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