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GENERAL FRACTIONAL CALCULUS IN NON-SINGULAR POWER-LAW KERNEL APPLIED TO MODEL ANOMALOUS DIFFUSION PHENOMENA IN HEAT TRANSFER PROBLEMS

ABSTRACT
In this paper we address the general fractional calculus of Liouville-Weyl and Liouville-Caputo general fractional derivative types with non-singular power-law kernel for the first time. The Fourier transforms and the anomalous diffusions are discussed in detail. The formulations are adopted to describe complex phenomena of the heat transfer problems.
KEYWORDS
PAPER SUBMITTED: 2017-05-10
PAPER REVISED: 2017-06-25
PAPER ACCEPTED: 2017-07-10
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI170310194G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S11 - S18]
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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