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

Ai-Min Yang; Yu-Zhu Zhang; Carlo Cattani; Gong-Nan Xie; Mohammad Mehdi Rashidi; Yi-Jun Zhou; Xiao-Jun Yang

doi:10.1155/2014/372741

Abstract and Applied Analysis (Jan 2014)

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

Ai-Min Yang,
Yu-Zhu Zhang,
Carlo Cattani,
Gong-Nan Xie,
Mohammad Mehdi Rashidi,
Yi-Jun Zhou,
Xiao-Jun Yang

Affiliations

Ai-Min Yang: College of Science, Hebei United University, Tangshan 063009, China
Yu-Zhu Zhang: College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China
Carlo Cattani: Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy
Gong-Nan Xie: School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, China
Mohammad Mehdi Rashidi: Department of Mechanical Engineering, Bu-Ali Sina University, P.O. Box 65175-4161, Hamedan, Iran
Yi-Jun Zhou: Qinggong College, Hebei United University, Tangshan 063009, China
Xiao-Jun Yang: Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

DOI: https://doi.org/10.1155/2014/372741
Journal volume & issue: Vol. 2014

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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