Analysis of a Fractional‐Order Model for Diabetes Mellitus Incorporating Education and Media Awareness Campaigns Using the Two‐Step Newtonian Polynomial Approach

Diabetes has become a rapidly growing global health concern, representing a serious challenge to public health systems worldwide. Mathematical modeling plays a vital role in understanding its progression and in formulating effective and economical intervention strategies. In this study, we develop a nonlinear fractional order model to describe the dynamics of diabetes mellitus, incorporating the impact of media campaigns and educational initiatives aimed at raising public awareness. The model is examined using a two‐step Newton polynomial scheme in the context of the Caputo fractional derivative. Analytical investigations cover the model's equilibrium states, and stability conditions, confirming its mathematical reliability. Furthermore, numerical simulations and graphical illustrations are presented for various fractional orders, offering valuable perspectives for forecasting diabetes trends and enhancing disease control and management.