COMBINING FRACTIONAL DERIVATIVES TO PREDICT BLOOD ALCOHOL CONCENTRATION

This paper focuses on the analysis of the system of equations that describes the blood alcohol concentration (BAC) involving two linked absorption processes, first in the stomach and then in the blood. Each process was modeled with conformable and Caputo derivatives; thus, in this way, the BAC was simulated via four different derivative combinations. In the analysis, the dimensional homogeneity of the equations was maintained. The efficiency (with respect to the classical integer order model) of the obtained solutions was estimated by fitting them to experimental data. The Caputo-conformable combination leads to the highest efficiency followed by the conformable-conformable combination.