Analysis and Simulation of Fractional-Order Diabetes Model

Year 2020, , 483 - 497, 30.12.2020

Muhammad Farman , Ali Akgül , Aqeel Ahmad

https://doi.org/10.31197/atnaa.778506

Cited By: 1

Abstract

In this article, we research the diabetes model and its consequences using the Caputo and Atangana Baleanu fractional derivatives. The presence and uniqueness are strongly mentored by the fixed point theorem and the approach to Picard - Lindelof. A deterministic mathematical model corresponding to the fractional derivative of diabetes mellitus. The Laplace transformation is used for the diagnostic structure of the diabetes model. Finally, numerical
calculations are made to illustrate the effect of changing the fractional-order to obtain the theoretical results, and comparisons are made for the Caputo and Atangana Baleanu derivative. The results of the following work by controlling plasma glucose with the fractional-order model make it a suitable candidate for controlling human type 1 diabetes.

Keywords

Fractional order glucose insulin system, stability, Picard–Lindelof approach, Fixed point theorem, ABC derivative

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