Fractional Order Glucose Insulin Model with Generalized Mittag-Leffler Kernel
[ X ]
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Natural Sciences Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
TIn this paper, We formulate a fractional-order mathematical model for the populations of diabetic patients consist three-compartment G, X, and I. Diabetes Model is investigated with fractal-fractional operator for normal and type-1 diabetes. Also, the deterministic mathematical model for diabetes mellitus is investigated with the effect of the fractional parameters. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease for type-1 diabetes. The existence and uniqueness results of the fractional-order model are derived using fixed point theory. Simulation has been made for developed solutions of fractional order diabetes model to check the actual behavior of a normal person as well as a type-1 diabetes patient. © 2023.
Açıklama
Anahtar Kelimeler
Diabetes model, Fractal-Fractional, Glucose metabolism, Ulam-Hyres stability, Uniqueness
Kaynak
Applied Mathematics and Information Sciences
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
17
Sayı
2
