## THERMAL SCIENCE

International Scientific Journal

### 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

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**4**, PAGES [1729 - 1735]

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