Bernoulli wavelet method for non-linear fractional Glucose–Insulin regulatory dynamical system. (November 2022)

• Record Type: Journal Article
• Authors: Agrawal, Khushbu; Kumar, Ranbir; Kumar, Sunil; Hadid, Samir; Momani, Shaher
• Is Part Of: Chaos, solitons and fractals. Volume 164(2022)
• Publication Date: 2022-11
• Subjects: Fractional order model -- Dynamical behavior -- Caputo fractional derivative -- Laplace transformation -- Stability analysis -- Bernoulli wavelet method -- Operational matrix -- Toufik–Atangana method; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112632
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: 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. Highlights: We propose a model that explains the glucose–insulin regulatory system. The GIRS is stable in its nonlinear fractional-order form. We have also calculated the error analysis.