## THERMAL SCIENCE

International Scientific Journal

### LOCAL FRACTIONAL LAPLACE SERIES EXPANSION METHOD FOR DIFFUSION EQUATION ARISING IN FRACTAL HEAT TRANSFER

**ABSTRACT**

In this article, we first propose the local fractional Laplace series expansion method, which is a coupling method of series expansion method and Laplace transform via local fractional differential operator. An illustrative example for handling the diffusion equation arising in fractal heat transfer is given.

**KEYWORDS**

PAPER SUBMITTED: 2014-05-30

PAPER REVISED: 2015-01-21

PAPER ACCEPTED: 2015-02-13

PUBLISHED ONLINE: 2015-05-30

**THERMAL SCIENCE** YEAR

**2015**, VOLUME

**19**, ISSUE

**Supplement 1**, PAGES [S131 - S135]

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