THERMAL SCIENCE

International Scientific Journal

Xiu-Rong Guo

,

Gui-Lei Chen

,

Mei Guo

,

Zheng-Tao Liu

A PERIODIC SOLUTION FOR THE LOCAL FRACTIONAL BOUSSINESQ EQUATION ON CANTOR SETS

ABSTRACT
In this paper, the periodic solution for the local fractional Boussinesq equation can be obtained in the sense of the local fractional derivative. It’s given by applying direct integration with symmetry condition. Meanwhile, the periodic solution of the non-differentiable type with generalized functions defined on Cantor sets is analyzed. As a result, we have a new point to look the local fractional Boussinesq equation through the local fractional derivative theory.
KEYWORDS
local fractional derivative, local fractional Boussinesq equation, periodic solution
PAPER SUBMITTED: 2018-08-22
PAPER REVISED: 2018-11-20
PAPER ACCEPTED: 2019-01-05
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI180822255G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 6, PAGES [3719 - 3723]
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A periodic solution for the local fractional Boussinesq equation on cantor sets

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence