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APPLICATION OF LOCAL FRACTIONAL FOURIER SINE TRANSFORM FOR 1-D LOCAL FRACTIONAL HEAT TRANSFER EQUATION

ABSTRACT
This paper proposes a new method called the local fractional Fourier sine transform to solve fractional differential equations on a fractal space. The method takes full advantages of the Yang-Fourier transform, the local fractional Fourier cosine, and sine transforms. A 1-D local fractional heat transfer equation is used as an example to reveal the merits of the new technology, and the example can be used as a paradigm for other applications.
KEYWORDS
PAPER SUBMITTED: 2017-03-02
PAPER REVISED: 2017-10-20
PAPER ACCEPTED: 2017-10-20
PUBLISHED ONLINE: 2018-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI1804729W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE 4, PAGES [1729 - 1735]
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© 2018 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