Numerical solutions, stability, and chaos control of atangana-baleanu variable-order derivatives in glucose-insulin dynamics

• Autorzy: Saber Sayed , Mirgani Safa M.

Identyfikatory

DOI

10.17512/jamcm.2025.1.04

• Języki publikacji: EN

Abstrakty

EN

Using Atangana-Baleanu fractional variable-order derivatives, this article investigates the impact of memory effects on glucose-insulin dynamics. The uniqueness and boundedness of solutions are established using fixed-point theory. By adjusting the fractional derivative order, different chaotic behaviors can be observed. An Atangana-Baleanu fractional framework is used to analyze Hyers-Ulam stability using the Sumudu transform. Through linear controllers, the Atangana-Baleanu fractional chaotic system can be synchronized, achieving equilibrium. This control mechanism could be beneficial to diabetes management, such as insulin pumps that regulate insulin in real time based on glucose levels. By controlling Atangana-Baleanu fractional order chaos, glucose-insulin regulation could be improved.

Słowa kluczowe

EN

fractional derivatives; nonlinear equations; simulation; numerical results

PL

pochodne ułamkowe; równania nieliniowe; symulacja; wyniki numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2025
• Tom: Vol. 24, nr 1
• Strony: 44--55
• Opis fizyczny: Bibliogr. 33 poz., rys., tab.

Twórcy

autor

Saber Sayed

• Department of Mathematics, Faculty of Science, Al-Baha University, Saudi Arabia
• Department of Mathematics and Statistics, Faculty of Science, Beni-Suef University, Egypt

autor

Mirgani Safa M.

• Department of Mathematics and Statistics, College of Science, Imam Mohammed Ibn Saud Islamic University, Riyadh, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).