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

被引：118
作者：
Wang, Kang-Le [1 ]
Wang, Kang-Jia [2 ]
He, Chun-Hui [3 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
[2] Henan Polytech Univ, Sch Phys & Elect Informat Engn, Jiaozuo, Henan, Peoples R China
[3] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, 199 Ren Ai Rd, Suzhou, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2019年 / 27卷 / 07期
关键词：
Local Fractional Derivative; Fractal Space; Adomian's Decomposition Method; Variational Iteration Method; Approximate Analytical Solution; KdV-Burgers-Kuramoto Equation; HOMOTOPY PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; FRACTAL ANALYSIS; TIME;
D O I：
10.1142/S0218348X19501226
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：7
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