## THERMAL SCIENCE

International Scientific Journal

### THE LOCAL FRACTIONAL ITERATION SOLUTION FOR THE DIFFUSION PROBLEM IN FRACTAL MEDIA

**ABSTRACT**

In this paper, we address the coupling method for the local fractional variational iteration algorithm III and local fractional Laplace transform for the first time, which is called as the local fractional Laplace transform variational iteration algorithm III. The proposed technology is used to find the local fractional iteration solution for the diffusion problem in fractal media via local fractional derivative.

**KEYWORDS**

PAPER SUBMITTED: 2015-12-10

PAPER REVISED: 2016-01-20

PAPER ACCEPTED: 2016-01-21

PUBLISHED ONLINE: 2016-09-24

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Supplement 3**, PAGES [S743 - S746]

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