Key result
A fractional mathematical model of diabetes and its complications using an exponential kernel was developed and validated through numerical simulation.
Why the study?
Diabetes and its complications are rapidly increasing worldwide, prompting the development of mathematical modeling approaches.
This mathematical study defines a fractional model of diabetes and its complications, proving the existence and uniqueness of its solution.
Requires clinical validation before informing diabetes care; leaves open real-world predictive utility of fractional models.
Diabetes is one of the burning issues of the whole world. It effected the world population rapidly. According to the WHO approx 415 million people are living with diabetes in the world and this figure is expected to rise up to 642 million by 2040. World various organizations raise their voice against the dire facts about the increasing graph of diabetes and its complicated patients. In this paper authors define the fractional model of diabetes and its complications involving to fractional operator with exponential kernel. The authors discuss the existence of the solution by using fixed point theorem and also show the uniqueness of the solution. To validate the model's efficiency the authors provided numerical simulation by using HPM. To strengthen the model the results have been presented in the form of graphs.
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Dubey et al. (2019) studied Diabetes. A fractional mathematical model of diabetes and its complications using an exponential kernel was developed and validated through numerical simulation.
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