Work

Numerical approximation of a time-delayed fractional-order diabetes mellitus model using predictor-corrector method

Year: 2026

Type: article

Abstract: This paper presents a mathematical model to study diabetes mellitus disease by incorporating fractional derivatives in the Caputo sense, which generalizes classical integer-order models through improved representation of memory effects. The model incorporates fractional time delay and treatment function to enable a more comprehensive analysis of the disease. First, we determine the model's essential equilibria and establish its positivity and boundedness. A qualitative analysis of approximate solutions has been carried out using fixed point theory which is well-suited for handling non-local and nonlinear aspects of fractional order systems. We have performed computational simulations by using an Adams–Bashforth–Moulton-type predictor–corrector approach for different fractional order values. These findings facilitate to advance our understanding of the dynamics of diabetes and can inform the development of effective public health initiatives.

Source: Mathematical and Computer Modelling of Dynamical Systems

DOI: 10.1080/13873954.2026.2658274

Authors: Bhamini Bhatia, Sanjay Bhatter, Sunil Dutt Purohit, D. L. Suthar

Institutions: Malaviya National Institute of Technology Jaipur, Rajasthan Technical University, Wollo University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $1,533