Abstract

ORTEGA, A.  and  ROSALES, J. Juan. Newton’s law of cooling with fractional conformable derivative. Rev. mex. fis. [online]. 2018, vol.64, n.2, pp.172-175. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.64.172.

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 ordinary ones.

Keywords : Newton law of cooling; conformable derivative.

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