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This paper gives a literature review on various analytical methods and numerical methods for heat problems. Fractal models and fractional models are emphasized. Beginning at the classic heat equation, fractional Fourier law and fractional conservation of energy are considered for 1-D heat equation in fractal media, its solution properties are discussed using the fractional complex transform. The emphasis of this literature review is put upon recent publications in Thermal Science, and the references are not exhaustive.
PAPER ACCEPTED: 2016-06-06
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© 2017 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence