Implementation of Fractional Blood Ethanol Model by Computation of Matrix Mittag–Leffler Functions

Abstract

The article discusses several innovative and intriguing aspects of the fractional operator-based fractional blood ethanol concentration model involving first-order chemical reactions. The most commonly used fractional operator, Caputo, performs the analysis. The analytical results of blood ethanol concentration are examined utilizing the computation matrix Mittag-Leffler function (MMLF).  Solutions' ethanol concentrations are displayed as an extended series. A graphical representation of the effect of fractional parameters on ethanol concentrations is provided. The comparative analysis for concentrations demonstrates the proposed model's novel composite fractional derivative properties. According to studies, fractional models approximate real data more correctly than their integer order derivative operator counterparts.  The fractional blood alcohol models presented provide essential and beneficial results that can be used to forecast future information for the medical community.