Progress in Fractional Differentiation & Applications

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In this article, we aim to analyze the Mixed Immunotherapy and Chemotherapy cancer treatment mathematical model to strengthen cancer research. Firstly, the model is integrated into the Caputo-Fabrizio fractional derivative with a non-singular kernel in order to overcome the limitations of the conventional Riemann-Liouville and Caputo fractional derivatives. After that, the presented mathematical model is examined for the existence of system solutions in detail by applying the fixed-point postulate. We ascertain the conditions under which the uniqueness of this system of solutions can be obtained.

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