COMBINING FRACTIONAL DERIVATIVES TO PREDICT BLOOD ALCOHOL CONCENTRATION

被引：2

作者：

Rosales, J. J. ^{[1
]}

Godinez, F. A. ^{[2
,3
]}

Martinez, L. ^{[4
]}

Chavez, O. ^{[5
]}

机构：

[1] Univ Guanajuato, Div Ingn, Campus Irapuato Salamanca,Carretera Salamanca, Guanajuato, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Ingn, UNAM, Ciudad De Mexico 04510, Mexico

[3] Polo Univ Tecnol Avanzada, Km 10 PIIT, Apodaca 66629, Nuevo Leon, Mexico

[4] Univ Guanajuato, Div Ingn, Dept Estudios Multidisciplinarios, Campus Irapuato Salamanca,Av Univ S-N, Guanajuato 38944, Mexico

[5] Tecnol Nacl Mexico, IT Chihuahua, Av Tecnol 2909, Chihuahua 31310, Chihuahua, Mexico

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 03期

关键词：

Caputo Fractional Derivative; Conformable Derivative; Blood Alcohol Concentration; Combining Fractional Derivatives;

D O I：

10.1142/S0218348X21500638

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：10

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