An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation

An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation

The variational iteration method was originally proposed to solve non-linear problems of differential equations, this paper shows that it is also a powerful mathematical tool to local fractional differential equations. Two local fractional modified Korteweg-de Vries equations are used as examples to...

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Bibliographic Details
Main Authors: Wang Yan, Zhang Yu-Feng, Liu Zhen-Jiang
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2018-01-01
Series:Thermal Science
Subjects:
modified Korteweg-de Vries equation
local fractional derivative
local fractional variational iteration method
series solution
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361700143W.pdf
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spelling doaj-cf1cbfdee76d4a40a92032c2283b04182021-01-02T12:33:33ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632018-01-01221 Part A232710.2298/TSCI160501143W0354-98361700143WAn explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equationWang Yan0Zhang Yu-Feng1Liu Zhen-Jiang2China University of Mining and Technology, School of Mathematics, Xuzhou, China + Henan Polytechnic University, School of Mathematics and Information Science, Jiaozuo, ChinaChina University of Mining and Technology, School of Mathematics, Xuzhou, ChinaQujing Normal University, College of Mathematics and Statistics, Qujing, PR ChinaThe variational iteration method was originally proposed to solve non-linear problems of differential equations, this paper shows that it is also a powerful mathematical tool to local fractional differential equations. Two local fractional modified Korteweg-de Vries equations are used as examples to reveal the simple solution process.http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361700143W.pdfmodified Korteweg-de Vries equationlocal fractional derivativelocal fractional variational iteration methodseries solution
collection DOAJ
language English
format Article
sources DOAJ
author Wang Yan
Zhang Yu-Feng
Liu Zhen-Jiang
spellingShingle Wang Yan
Zhang Yu-Feng
Liu Zhen-Jiang
An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation
Thermal Science
modified Korteweg-de Vries equation
local fractional derivative
local fractional variational iteration method
series solution
author_facet Wang Yan
Zhang Yu-Feng
Liu Zhen-Jiang
author_sort Wang Yan
title An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation
title_short An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation
title_full An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation
title_fullStr An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation
title_full_unstemmed An explanation of local fractional variational iteration method and its application to local fractional modified Korteweg-de Vries equation
title_sort explanation of local fractional variational iteration method and its application to local fractional modified korteweg-de vries equation
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2018-01-01
description The variational iteration method was originally proposed to solve non-linear problems of differential equations, this paper shows that it is also a powerful mathematical tool to local fractional differential equations. Two local fractional modified Korteweg-de Vries equations are used as examples to reveal the simple solution process.
topic modified Korteweg-de Vries equation
local fractional derivative
local fractional variational iteration method
series solution
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361700143W.pdf
work_keys_str_mv AT wangyan anexplanationoflocalfractionalvariationaliterationmethodanditsapplicationtolocalfractionalmodifiedkortewegdevriesequation
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AT liuzhenjiang anexplanationoflocalfractionalvariationaliterationmethodanditsapplicationtolocalfractionalmodifiedkortewegdevriesequation
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AT zhangyufeng explanationoflocalfractionalvariationaliterationmethodanditsapplicationtolocalfractionalmodifiedkortewegdevriesequation
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