PHYSICAL INSIGHT OF LOCAL FRACTIONAL CALCULUS AND ITS APPLICATION TO FRACTIONAL KDV–BURGERS–KURAMOTO EQUATION-Reference-Cited by-同舟云学术

PHYSICAL INSIGHT OF LOCAL FRACTIONAL CALCULUS AND ITS APPLICATION TO FRACTIONAL KDV–BURGERS–KURAMOTO EQUATION

Published:2019-11 Issue:07 Volume:27 Page:1950122
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG KANG-LE¹,WANG KANG-JIA²^ORCID,HE CHUN-HUI³

Affiliation:

1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

2. School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, P. R. China

3. National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, P. R. China

Abstract

Local fractional calculus is used to derive fractional partner of the KdV–Burgers–Kuramoto equation, its physical understanding is elucidated and its solution properties are revealed. Adomian’s decomposition method (ADM) and the variational iteration method (VIM) are applied to obtain its approximate analytical solution, the results have both theoretical importance and practical applications.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X19501226

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