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

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

航海学院

Hebei United University
Yanshan University
University of Salerno
Bu-Ali Sina University
China University of Mining and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

81 引用（Scopus）

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.

源语言	英语
文章编号	372741
期刊	Abstract and Applied Analysis
卷	2014
DOI	https://doi.org/10.1155/2014/372741
出版状态	已出版 - 2014

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title = "Application of local fractional series expansion method to solve Klein-Gordon equations on cantor sets",

abstract = "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.",

author = "Yang, \{Ai Min\} and Zhang, \{Yu Zhu\} and Carlo Cattani and Xie, \{Gong Nan\} and Rashidi, \{Mohammad Mehdi\} and Zhou, \{Yi Jun\} and Yang, \{Xiao Jun\}",

year = "2014",

doi = "10.1155/2014/372741",

language = "英语",

volume = "2014",

journal = "Abstract and Applied Analysis",

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T1 - Application of local fractional series expansion method to solve Klein-Gordon equations on cantor sets

AU - Yang, Ai Min

AU - Zhang, Yu Zhu

AU - Cattani, Carlo

AU - Xie, Gong Nan

AU - Rashidi, Mohammad Mehdi

AU - Zhou, Yi Jun

AU - Yang, Xiao Jun

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84897554943

U2 - 10.1155/2014/372741

DO - 10.1155/2014/372741

M3 - 文章

AN - SCOPUS:84897554943

SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 372741

ER -

Application of local fractional series expansion method to solve Klein-Gordon equations on cantor sets

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