On the existence and uniqueness analysis of fractional blood glucose-insulin minimal model

被引：18

作者：

Dubey, Ravi Shanker ^{[1
]}

Goswami, Pranay ^{[2
]}

Baskonus, Haci Mehmet ^{[3
]}

Gomati, Tailor A. ^{[1
]}

机构：

[1] Amity Univ Rajasthan, Dept Math, Amity Sch Appl Sci, Jaipur 303002, Rajasthan, India

[2] Dr BR Ambedkar Univ Delhi, Sch Liberal Studies, Delhi 110006, India

[3] Harran Univ, Dept Math & Sci Educ, Fac Educ, Sanliurfa, Turkiye

来源：

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2023年 / 14卷 / 03期

关键词：

Minimal model; existence and uniqueness; homotopy decomposition method (HDM); fractional calculus; MATHEMATICAL-MODEL; SENSITIVITY; TOLERANCE; EQUATIONS; SYSTEM;

D O I：

10.1142/S1793962323500083

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In our research work, we suggest the modified minimal model of fractional order and analyze it using the homotopy decomposition method (HDM). The minimal model is quite a useful mathematical model which describes the behavior of glucose-insulin metabolism. The original model was given in the 80s and has been updated over a different period. In this modified model, we add a one-factor diet which plays an important role in the blood-glucose analysis. We obtained the numerical results by using the homotopy decomposition method. HDM is extremely useful, significant, and very simple. We also discuss the existence and uniqueness of the fractional model.

引用

页数：18

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