Conformable derivative applied to experimental Newton's law of cooling

J. Rosales-García, J. A. Andrade-Lucio, O. Shulika


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.


Newton law of cooling; fractional calculus; conformable derivative

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Revista Mexicana de Física

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