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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
DOI REFERENCE: https://doi.org/10.2298/TSCI180312238D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1671 - 1675]
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