Analysis and Simulation of Fractional-Order Diabetes Model

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:4 Issue:4
Analysis and Simulation of Fractional-Order Diabetes Model

Analysis and Simulation of Fractional-Order Diabetes Model

Authors : Muhammad FARMAN, Ali AKGÜL, Aqeel AHMAD

Pages : 483-497

Doi:10.31197/atnaa.778506

View : 9 | Download : 11

Publication Date : 2020-12-30

Article Type : Research Paper

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, PicardLindelof approach, Fixed point theorem, ABC derivative

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