## THERMAL SCIENCE

International Scientific Journal

### A NEW COMPUTATIONAL METHOD FOR FRACTAL HEAT-DIFFUSION VIA LOCAL FRACTIONAL DERIVATIVE

**ABSTRACT**

The fractal heat-conduction problem via local fractional derivative is investigated in this paper. The solution of the fractal heat-diffusion equation is obtained. The characteristic equation method is proposed to find the analytical solution of the partial differential equation in fractal heat-conduction problem.

**KEYWORDS**

PAPER SUBMITTED: 2015-12-01

PAPER REVISED: 2016-01-05

PAPER ACCEPTED: 2016-01-26

PUBLISHED ONLINE: 2016-09-24

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Supplement 3**, PAGES [S773 - S776]

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