**4. Numerical Analysis of the Non-Local Fractional Operators on Hypoglycemia, Hyperinsulinemia, T1DM, and T2DM**

As reported in [46–48], when the chaotic behavior appears, it could mean the existence of some disorders in the inherent dynamics of a biological system. In this manner, we analyze four health disorders related to fractional-order glucose-insulin model (5) through one- and two-dimensional bifurcation diagrams and Lyapunov exponents. In particular, we construct a map that relates the fractional-order derivative with a specific parameter, such as *a*<sup>1</sup> (hypoglycemia), *a*<sup>7</sup> (hyperinsulinemia), *a*<sup>8</sup> (T1DM), and *a*<sup>15</sup> (T2DM).
