Existence and Uniqueness of Glucose-Insulin model Using Caputo-Fabrizio Fractional Derivative

Abstract

In this article, we aim to examine glucose concentration for type I diabetic patient to strengthen diabetic’s research. Firstly, the model is integrated into the Caputo-Fabrizio fractional derivative with a non-singular kernel in order to subdue the limitations of the conventional Riemann-Liouville and Caputo fractional derivatives. After that, the presented mathematical model is reviewed 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.