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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.
PAPER REVISED: 2017-10-20
PAPER ACCEPTED: 2017-10-20
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THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 4, PAGES [1729 - 1735]
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