4.3 Article

AN EXPLANATION OF LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD AND ITS APPLICATION TO LOCAL FRACTIONAL MODIFIED KORTEWEG-DE VRIES EQUATION

Journal

THERMAL SCIENCE
Volume 22, Issue 1, Pages 23-27

Publisher

VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI160501143W

Keywords

modified Korteweg-de Vries equation; local fractional derivative; local fractional variational iteration method; series solution

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Funding

  1. Fundamental Research Funds for the Central University [2017XKZD11]

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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.

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