## THERMAL SCIENCE

International Scientific Journal

### THE NON-DIFFERENTIABLE SOLUTION FOR LOCAL FRACTIONAL LAPLACE EQUATION IN STEADY HEAT-CONDUCTION PROBLEM

**ABSTRACT**

In this paper, we investigate the local fractional Laplace equation in the steady heat-conduction problem. The solutions involving the non-differentiable graph are obtained by using the characteristic equation method (CEM) via local fractional derivative. The obtained results are given to present the accuracy of the technology to solve the steady heat-conduction in fractal media.

**KEYWORDS**

PAPER SUBMITTED: 2015-12-21

PAPER REVISED: 2016-01-05

PAPER ACCEPTED: 2016-01-28

PUBLISHED ONLINE: 2016-08-14

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Supplement 3**, PAGES [S769 - S772]

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