Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets

被引：40

作者：

Yang, Ai-Min ^{[1
,2
]}

Zhang, Yu-Zhu ^{[2
,3
]}

Cattani, Carlo ^{[4
]}

Xie, Gong-Nan ^{[5
]}

Rashidi, Mohammad Mehdi ^{[6
]}

Zhou, Yi-Jun ^{[7
]}

Yang, Xiao-Jun ^{[8
]}

机构：

[1] Hebei United Univ, Coll Sci, Tangshan 063009, Peoples R China

[2] Yanshan Univ, Coll Mech Engn, Qinhuangdao 066004, Peoples R China

[3] Hebei United Univ, Coll Met & Energy, Tangshan 063009, Peoples R China

[4] Univ Salerno, Dept Math, I-84084 Salerno, Italy

[5] Northwestern Polytech Univ, Sch Mech Engn, Xian 710048, Shaanxi, Peoples R China

[6] Bu Ali Sina Univ, Dept Mech Engn, Hamadan, Iran

[7] Hebei United Univ, Qinggong Coll, Tangshan 063009, Peoples R China

[8] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

MECHANICS;

D O I：

10.1155/2014/372741

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the local fractional series expansion method to solve the Klein-Gordon equations on Cantor sets within the local fractional derivatives. The analytical solutions within the nondifferential terms are discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems of the liner differential equations on Cantor sets.

引用

页数：6

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