期刊
ALEXANDRIA ENGINEERING JOURNAL
卷 80, 期 -, 页码 74-87出版社
ELSEVIER
DOI: 10.1016/j.aej.2023.07.050
关键词
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In this paper, a fractal-fractional-order model of glucose-insulin interaction based on IVGT is proposed and analyzed both qualitatively and numerically, with consistent analytical and simulation results.
A fractal-fractional-order of a modified minimal model of glucose-insulin interaction model is proposed in sense of Atangana-Baleanu operator based on the intravenous glucose tolerance test (IVGT). Based on the fractal-fractional sense, we examine the existence of the solution, Hyers-Ulam stability, uniqueness, non negativity, positivity, and boundedness. The model is analyzed qualitatively using its equivalent integral using an iterative convergence sequence and fixed point approach. A numerical scheme for the fractal-fractional model is then applied to a case study. Modified minimal models are reasonable and acceptable. We are interested to see that both analytical and simulation results agree.
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