A comprehensive investigation of fractional glucose-insulin dynamics: existence, stability, and numerical comparisons using residual power series and generalized Runge-Kutta methods

A comprehensive investigation of fractional glucose-insulin dynamics: existence, stability, and numerical comparisons using residual power series and generalized Runge-Kutta methods

The regulation of blood glucose levels involves complex interactions between glucose, insulin, and beta cells, where disruptions may lead to diabetes. Traditional integer-order models fail to capture the memory-dependent and hereditary properties of biological systems. This study develops a fraction...

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Bibliographic Details
Main Authors: Khalid I. A. Ahmed, Safa M. Mirgani, Aly Seadawy, Sayed Saber
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:Journal of Taibah University for Science
Subjects:
Fractional calculus
glucose-insulin dynamics
residual power series method
generalized Runge-Kutta method
stability analysis
diabetes modeling
Online Access:https://www.tandfonline.com/doi/10.1080/16583655.2025.2460280
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https://www.tandfonline.com/doi/10.1080/16583655.2025.2460280

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