Abstract: This paper makes use of Jumarie’s modified Riemann-Liouville (R-L) fractional derivatives to study fractional Newton’s law of cooling. The methods we used include a new multiplication, separation of variables, and chain rule for fractional derivatives. In addition, Mittag-Leffler function plays an important role in this paper, which is similar to the exponential function in classical calculus. On the other hand, an example is provided to illustrate our result.
Keywords: Jumarie’s modified R-L fractional derivatives, fractional Newton’s law of cooling, new multiplication, separation of variables, chain rule for fractional derivatives, Mittag-Leffler function, exponential function.
Title: Study on Fractional Newton’s Law of Cooling
Author: Chii-Huei Yu
International Journal of Mechanical and Industrial Technology
ISSN 2348-7593 (Online)
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