THERMAL SCIENCE

International Scientific Journal

Yong-Ju YangORCID

,

Shun-Qin WangORCID

A LOCAL FRACTIONAL HOMOTOPY PERTURBATION METHOD FOR SOLVING THE LOCAL FRACTIONAL KORTEWEG-DE VRIES EQUATIONS WITH NON-HOMOGENEOUS TERM

ABSTRACT
In this paper, a local fractional homotopy perturbation method is presented to solve the boundary and initial value problems of the local fractional Korteweg-de Vries equations with non-homogeneous term. In order to demonstrate the validity and reliability of the method, two types of the Korteweg-de Vries equations with non-homogeneous term are proposed.
KEYWORDS
local fractional homotopy perturbation method, local fractional derivative, local fractional Korteweg-de Vries equation
PAPER SUBMITTED: 2018-08-22
PAPER REVISED: 2018-11-20
PAPER ACCEPTED: 2019-01-05
PUBLISHED ONLINE: 2019-05-26
DOI REFERENCE: https://doi.org/10.2298/TSCI180822216Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE No. 3, PAGES [1495 - 1501]
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A local fractional homotopy perturbation method for solving the local fractional Korteweg-de Vries equations with non-homogeneous term

© 2026 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