COMBINING FRACTIONAL DERIVATIVES TO PREDICT BLOOD ALCOHOL CONCENTRATION

J. J. Rosales, F. A. Godã Nez, L. Martã Nez and O. Chã Vez
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J. J. Rosales: División de Ingenierías Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago, km. 3.5 + 1.8 km., Comunidad de Palo Blanco, Salamanca, Guanajuato, México
F. A. Godã Nez: Instituto de Ingeniería, Universidad Nacional Autónoma de México, UNAM, C. U., Ciudad de México, C. P. 04510, México3Polo Universitario de Tecnología Avanzada, km. 10 PIIT, C. P. 66629, Apodaca Nuevo León, México
L. Martã Nez: Departamento de Estudios Multidisciplinarios, División de Ingenierías Campus Irapuato-Salamanca Universidad de Guanajuato, Av. Universidad S/N Col. Yacatitas, C. P. 38944, Yuriria, Guanajuato, México
O. Chã Vez: Tecnológico Nacional de México/I. T. Chihuahua, Av. Tecnológico 2909 C. P. 31310, Chihuahua, Chih. México

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-10

Abstract: 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.

Keywords: Caputo Fractional Derivative; Conformable Derivative; Blood Alcohol Concentration; Combining Fractional Derivatives (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500638

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DOI: 10.1142/S0218348X21500638

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