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

School of Marine Science and Technology

Research output: Contribution to journal › Article › peer-review

80 Scopus citations

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.

Original language	English
Article number	372741
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/372741
State	Published - 2014

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@article{70bc6858b26942c1bb51439324d7596a,

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",

issn = "1085-3375",

publisher = "John Wiley and Sons Ltd",

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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 - http://www.scopus.com/inward/record.url?scp=84897554943&partnerID=8YFLogxK

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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