ISSN: 1304-7191 | E-ISSN: 1304-7205
A new application of fractional glucose-insulin model and numerical solutions
1Institute of Science, Nevşehir Hacı Bektaş Veli University, Nevşehir, 50300, Türkiye
2Department of Mathematics, Aksaray University, Aksaray, 68100, Türkiye
3Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir, 50300, Türkiye
Sigma J Eng Nat Sci 2024; 42(2): 407-413 DOI: 10.14744/sigma.2023.00022
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Along with the developing technology, obesity and diabetes are increasing rapidly among peo-ple. The identification of diabetes diseases, modeling, predicting their behavior, conducting simulations, studying control and treatment methods using mathematical methods has be-come of great importance. In this paper, we have obtained numerical solutions by considering the glucose-insulin fractional model. This model consists of three compartments: the blood glucose concentration (G), the blood insulin concentration (I) and the ready-to-absorb glu-cose concentration (D) in the small intestine. The fractional derivative is used in the sense of Caputo. By performing mathematical analyzes for the Glucose-Insulin fractional mathemati-cal model, numerical results were obtained with the help of the Euler method and graphs were drawn.