Analysis and simulation of fractional-order diabetes model
[ X ]
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erdal Karapinar
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, we research the diabetes model and its consequences using the Caputo and Atangana Baleanu fractional derivatives. A deterministic mathematical model is corresponding to the fractional derivative of diabetes mellitus. The Laplace transformation is used for the diagnostic structure of the diabetes model. Picard-Lindelof 's method shows the existence and uniqueness of the solution. Finally, numerical simulations are made to illustrate the effects 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. © 2020, Erdal Karapinar. All rights reserved.
Açıklama
Anahtar Kelimeler
ABC derivative, Fixed point theorem, Fractional order glucose insulin system, Picardas lindelof approach, Stability
Kaynak
Advances in the Theory of Nonlinear Analysis and its Applications
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
4
Sayı
4
