Conformable derivative applied to experimental Newton's law of cooling

Authors

  • J. Rosales-García Departamento de Ingeniería Eléctrica División de Ingenierías Campus Irapuato-Salamanca Universidad de Guanajuato
  • J. A. Andrade-Lucio Departamento de Ingeniería Eléctrica, DICIS, Universidad de Guanajuato http://orcid.org/0000-0003-1362-2231
  • O. Shulika Departamento de Ingeniería Eléctrica, DICIS, Universidad de Guanajuato

DOI:

https://doi.org/10.31349/RevMexFis.66.224

Keywords:

Newton law of cooling, fractional calculus, conformable derivative

Abstract

It has been proved that the integer order dierential equation does not
represent the real behaviour of nature for the Newton's law of cooling.
Then, we solve the Newton's cooling law using the conformable deriva-
tive, as result we obtain the Kohlrausch stretched exponential function.
Due to the free parameter 0 < 1, we can t this function with the
graph of the experimental data set. It is shown that the experimental data
coincide with those theoretical when = 0:77269 and k = 0:018765.

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Published

2020-03-01

How to Cite

[1]
J. Rosales-García, J. A. Andrade-Lucio, and O. Shulika, “Conformable derivative applied to experimental Newton’s law of cooling”, Rev. Mex. Fís., vol. 66, no. 2 Mar-Apr, pp. 224–227, Mar. 2020.

Issue

Vol. 66 No. 2 Mar-Apr (2020): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.