Modeling Alcohol Concentration in Blood via a Fractional Context

Abstract

We use a conformable fractional derivative G T α through two kernels T ( t , α ) = e ( α − 1 ) t and T ( t , α ) = t 1 − α in order to model the alcohol concentration in blood; we also work with the conformable Gaussian differential equation (CGDE) of this model, to evaluate how the curve associated with such a system adjusts to the data corresponding to the blood alcohol concentration. As a practical application, using the symmetry of the solution associated with the CGDE, we show the advantage of our conformable approaches with respect to the usual ordinary derivative.