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A LOCAL FRACTIONAL DERIVATIVE WITH APPLICATIONS TO FRACTAL RELAXATION AND DIFFUSION PHENOMENA

ABSTRACT
In this paper, a new application of the fractal complex transform via a local fractional derivative is presented. The solution for the fractal relaxation and time-fractal diffusion equations are obtained based on the sup-exponential functions defined on Cantor sets.
KEYWORDS
PAPER SUBMITTED: 2016-02-01
PAPER REVISED: 2016-03-10
PAPER ACCEPTED: 2016-03-26
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3723Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S723 - S727]
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© 2019 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