A Caputo (discretization) fractional-order model of glucose-insulin interaction: numerical solution and comparisons with experimental data

In this paper, we investigate a (discretization) Caputo fractional glucose-insulin model qualitatively with incommensurate orders that appear in Bergman's minimal model. After intravenous tolerance testing, the is used to characterize blood insulin and glucose metabolism. We also prove presented possesses existence, uniqueness, non-negative, boundedness solution. proceed systematical studies on stability of fractional. Comparisons between results fractional-order, integer order measured real data obtained from patients are presented. These comparisons shown better representative system than its form. Numerical solutions by using method Adams-Bashforth-Moulton type handle derivatives. Also, numerical simulations discretization derivative support analytical results.