A novel computational analysis of diabetes model with Caputo-Katugampola memory

Abstract

In this study, we have investigated a diabetes model and its complication using the Katugampola fractional derivative in Caputo sense. We studied a deterministic mathematical model that uses non integer derivatives to precisely depict the dynamics of diabetes mellitus. We have employed q-homotopy analysis generalized transform method (q-HAGTM) to find analytical approximate solution for presented model. Furthermore, the fixed-point theorem is employed to present the existence as well as uniqueness analysis of obtained solution for the discussed model. The obtained results are further complemented by conducting numerical simulations, providing graphical demonstrations that support and illustrate the findings. This approach enables us to understand and develop efficient ways to cure these diseases.