## THERMAL SCIENCE

International Scientific Journal

### LOCAL FRACTIONAL HELMHOLTZ SIMULATION FOR HEAT CONDUCTION IN FRACTAL MEDIA

**ABSTRACT**

In this paper, we consider the generalized local fractional 2-D Helmholtz equation in steady heat transfer process, which can be used to model the steady-state heat conduction in fractal media. The Yang-Fourier transform and Yang-Laplace transform method are used to solve the equation. The integral expression of the solutions is obtained in detail.

**KEYWORDS**

PAPER SUBMITTED: 2018-03-12

PAPER REVISED: 2018-06-18

PAPER ACCEPTED: 2018-11-23

PUBLISHED ONLINE: 2019-05-26

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**3**, PAGES [1671 - 1675]

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