THERMAL SCIENCE

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Cheng-Dong Wei

,

Guang-Sheng Chen

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
fractal space, local fractional Fourier sine transform, local fractional Fourier cosine transform, heat transfer equation, local fractional derivative
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 Issue 4, PAGES [1729 - 1735]
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Application of local fractional fourier sine transform for 1-D local fractional heat transfer equation

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