Newton’s law of cooling with fractional conformable derivative

Authors

  • Abraham Ortega 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.
  • J. Juan 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.

DOI:

https://doi.org/10.31349/RevMexFis.64.172

Keywords:

Newton law of cooling, Conformable derivative

Abstract

The fractional conformable derivative and its properties have been introduced recently. Using this derivative we obtain a new class of smooth solutions for the Newton’s law of cooling in terms of a stretched exponential function depending on the fractional order parameter 0 < γ ≤ 1. In addition, the convection coefficient of fractional order k(γ) can be calculated easily. Also, it is shown, that in the particular case γ = 1 these solutions become the ordi- nary ones.

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Published

2018-03-14

How to Cite

[1]
A. Ortega and J. J. Rosales, “Newton’s law of cooling with fractional conformable derivative”, Rev. Mex. Fís., vol. 64, no. 2 Mar-Apr, pp. 172–175, Mar. 2018.

Issue

Vol. 64 No. 2 Mar-Apr (2018): 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.