## THERMAL SCIENCE

International Scientific Journal

### REDUCED DIFFERENTIAL TRANSFORM AND VARIATIONAL ITERATION METHODS FOR 3-D DIFFUSION MODEL IN FRACTAL HEAT TRANSFER WITHIN LOCAL FRACTIONAL OPERATORS

**ABSTRACT**

The analytical solutions of the 3-D diffusion equation in fractal heat transfer is found. The reduced differential transform and variational iteration methods are considered in the local fractional operator sense. In order to show the power and robustness of the proposed techniques, illustrative example is presented. The results reveal that the presented methods is very effective and simple, and can be used for other problems in mathematical physics.

**KEYWORDS**

PAPER SUBMITTED: 2017-07-07

PAPER REVISED: 2017-11-24

PAPER ACCEPTED: 2017-12-04

PUBLISHED ONLINE: 2018-02-18

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Supplement 1**, PAGES [S301 - S307]

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