Comparative Implementation of Fractional Blood Alcohol Model by Numerical Approach.

Abstract

The current article discusses several innovative and intriguing aspects of the Caputo and modified Atangana-Baleanu derivative in the Caputo sense (MABC) based on a fractional blood alcohol model. The initial concentration of alcohol in the stomach after consumption, the rate at which alcohol is absorbed into the circulation, and the rate at which the liver metabolizes alcohol are the three factors that determine the model's resolution. Utilizing the Laplace transform method and the generalized Mittag-Leffler function method (GMLFM), the analytical results of stomach alcohol concentration and blood alcohol concentration are examined. Additionally, the study comprehensively analyzes the relationship between blood and stomach alcohol concentrations through an extended series representation. Graphical representations of the impact of fractional parameters on blood and stomach alcohol concentrations are provided. The comparison analysis for both concentrations reveals novel aspects of the studied model's entire fractional derivatives. The fractional blood alcohol models presented provide significant and beneficial outcomes that may be used to forecast future information forthe medical community.