Bernoulli wavelet method for non-linear fractional Glucose-Insulin regulatory dynamical system

被引：15

作者：

Agrawal, Khushbu ^{[1
]}

Kumar, Ranbir ^{[7
]}

Kumar, Sunil ^{[1
,2
,3
,4
]}

Hadid, Samir ^{[2
,5
]}

Momani, Shaher ^{[2
,6
]}

机构：

[1] Natl Inst Technol, Dept Math, Jamshedpur 831014, Jharkhand, India

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 1141, Saudi Arabia

[4] Chandigarh Univ, Univ Ctr Res & Dev, Dept Math, Mohali, India

[5] Ajman Univ, Coll Humanities & Sci, Dept Math & Sci, Ajman, U Arab Emirates

[6] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

[7] Maharani Janki Kunwar Coll, Bettiah 845438, Bihar, India

来源：

CHAOS SOLITONS & FRACTALS | 2022年 / 164卷

关键词：

Fractional order model; Dynamical behavior; Caputo fractional derivative; Laplace transformation; Stability analysis; Bernoulli wavelet method; Operational matrix; Toufik-Atangana method; MODEL; RESISTANCE;

D O I：

10.1016/j.chaos.2022.112632

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a model that explains the glucose-insulin regulatory system (GIRS). The literature has demonstrated that fractional-order analysis can uncover new aspects of complex systems that were not previously explored. As a result of our studies, the GIRS is stable in its non-linear fractional-order form. Each numerical investigation is derived in order to demonstrate the effectiveness and applicability of fractional order analysis, including the Toufik-Atangana method and the Bernoulli wavelet operational matrix method (BWOMM). An unregulated glucose-insulin system causes a wide variety of biological disorders. These studies may permit a deeper understanding of the regulatory system.

引用

页数：22

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