A FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION WITH FRACTAL DERIVATIVES

被引：50
作者：
Wang, Kang-Le [1 ]
Yao, Shao-Wen [1 ]
Liu, Yan-Ping [2 ]
Zhang, Li-Na [3 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
[2] Zhejiang Ocean Univ, Dept Environm Engn, Zhoushan, Peoples R China
[3] Inner Mongolia Univ Technol, Coll Sci, Hohhot, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2020年 / 28卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fractal Space; Variational Principle; He's Fractal Derivative; Two-Scale Transform Method; Homotopy Perturbation Method; CALCULUS; SPACE;
D O I：
10.1142/S0218348X20500589
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A fractal modification of the telegraph equation with fractal derivatives is given, and its variational principle is established by the semi-inverse method. The two-scale transform method and He's homotopy perturbation method are successfully adopted to solve the fractal equation.
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页数：7
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