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Open AccessArticle

Modeling Alcohol Concentration in Blood via a Fractional Context

1
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Carlos E. Adame No.54 Col. Garita, Acalpulco Gro. 39650, Mexico
2
Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, 28911 Madrid, Spain
3
CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira 62490 Mexico
4
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ave. Universidad 2000, Chamilpa, Morelos 62200, Mexico
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(3), 459; https://doi.org/10.3390/sym12030459
Received: 7 January 2020 / Revised: 28 February 2020 / Accepted: 29 February 2020 / Published: 13 March 2020
(This article belongs to the Special Issue Recent Advances in Discrete and Fractional Mathematics)
We use a conformable fractional derivative G T α through two kernels T ( t , α ) = e ( α 1 ) t and T ( t , α ) = t 1 α in order to model the alcohol concentration in blood; we also work with the conformable Gaussian differential equation (CGDE) of this model, to evaluate how the curve associated with such a system adjusts to the data corresponding to the blood alcohol concentration. As a practical application, using the symmetry of the solution associated with the CGDE, we show the advantage of our conformable approaches with respect to the usual ordinary derivative. View Full-Text
Keywords: fractional calculus; conformable and non-conformable derivatives; bayesian estimation fractional calculus; conformable and non-conformable derivatives; bayesian estimation
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MDPI and ACS Style

Rosario Cayetano, O.; Fleitas Imbert, A.; Gómez-Aguilar, J.F.; Sarmiento Galán, A.F. Modeling Alcohol Concentration in Blood via a Fractional Context. Symmetry 2020, 12, 459. https://doi.org/10.3390/sym12030459

AMA Style

Rosario Cayetano O, Fleitas Imbert A, Gómez-Aguilar JF, Sarmiento Galán AF. Modeling Alcohol Concentration in Blood via a Fractional Context. Symmetry. 2020; 12(3):459. https://doi.org/10.3390/sym12030459

Chicago/Turabian Style

Rosario Cayetano, Omar; Fleitas Imbert, Alberto; Gómez-Aguilar, José F.; Sarmiento Galán, Antonio F. 2020. "Modeling Alcohol Concentration in Blood via a Fractional Context" Symmetry 12, no. 3: 459. https://doi.org/10.3390/sym12030459

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