On the existence and uniqueness analysis of fractional blood glucose-insulin minimal model
Ravi Shanker Dubey, Pranay Goswami, Hacı Mehmet Başkonuş, A. Tailor Gomati
Abstract
In our research work, we suggest the modified minimal model of fractional order and analyze it using the homotopy decomposition method (HDM). The minimal model is quite a useful mathematical model which describes the behavior of glucose-insulin metabolism. The original model was given in the 80s and has been updated over a different period. In this modified model, we add a one-factor diet which plays an important role in the blood-glucose analysis. We obtained the numerical results by using the homotopy decomposition method. HDM is extremely useful, significant, and very simple. We also discuss the existence and uniqueness of the fractional model.
Topics & Concepts
UniquenessHomotopy analysis methodMathematicsApplied mathematicsSimple (philosophy)HomotopyMinimal modelInsulinMathematical optimizationMedicineMathematical analysisEndocrinologyPure mathematicsEpistemologyPhilosophyFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations