Application of local fractional fourier sine transform for 1-D local fractional heat transfer equation

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 tra...

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Bibliographic Details
Published in:Thermal science 2018, Vol.22 (4), p.1729-1735
Main Authors: Wei, Cheng-Dong, Chen, Guang-Sheng
Format: Article
Language:English
Subjects:
Differential equations
Fourier transforms
Heat transfer
New technology
Trigonometric functions
Online Access:Get full text
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Summary: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. nema
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI1804729W