THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Shawen Yao

,

Kangle Wang

LOCAL FRACTIONAL DERIVATIVE: A POWERFUL TOOL TO MODEL THE FRACTAL DIFFERENTIAL EQUATION

ABSTRACT
In this paper, the modified Fornberg-Whitham equation is described by the local fractional derivative for the first time. The fractal complex transform and the modified reduced differential transform method are successfully adopted to solve the modified local Fornberg-Whitham equation defined on fractal sets.
KEYWORDS
local fractional derivative, modified reduced differential transform method, fractal complex transform, modified Local Fornberg-Whitham equation, fractals
PAPER SUBMITTED: 2018-07-12
PAPER REVISED: 2018-09-13
PAPER ACCEPTED: 2019-01-28
PUBLISHED ONLINE: 2019-05-26
DOI REFERENCE: https://doi.org/10.2298/TSCI180712243Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1703 - 1706]
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Local fractional derivative: A powerful tool to model the fractal differential equation

© 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