THERMAL SCIENCE

International Scientific Journal

Jinze Xu

,

Zeng-Shun Chen

,

Jian-Hong Wang

,

Ping Cui

,

Yunru Bai

FRACTAL COMPLEX TRANSFORM TECHNOLOGY FOR FRACTAL KKORTEWEG-DE VRIES EQUATION WITHIN A LOCAL FRACTIONAL DERIVATIVE

ABSTRACT
In this paper, we present the fractal complex transform via a local fractional derivative. The traveling wave solutions for the fractal Korteweg-de Vries equations within local fractional derivative are obtained based on the special functions defined on Cantor sets. The technology is a powerful tool for solving the local fractional non-linear partial differential equations.
KEYWORDS
Korteweg-de Vries equation, traveling wave solution, fractal complex transform, local fractional derivative
PAPER SUBMITTED: 2015-02-17
PAPER REVISED: 1970-01-01
PAPER ACCEPTED: 1970-01-01
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3841X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S841 - S845]
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Fractal complex transform technology for fractal Kkorteweg-de Vries equation within a local fractional derivative

© 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