Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets
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 wi...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/372741 |
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| _version_ | 1832545342341513216 |
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| author | Ai-Min Yang Yu-Zhu Zhang Carlo Cattani Gong-Nan Xie Mohammad Mehdi Rashidi Yi-Jun Zhou Xiao-Jun Yang |
| author_facet | Ai-Min Yang Yu-Zhu Zhang Carlo Cattani Gong-Nan Xie Mohammad Mehdi Rashidi Yi-Jun Zhou Xiao-Jun Yang |
| author_sort | Ai-Min Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-efc8bc88e2c44efda44adcaa629a82b3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-efc8bc88e2c44efda44adcaa629a82b32025-02-03T07:26:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/372741372741Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor SetsAi-Min Yang0Yu-Zhu Zhang1Carlo Cattani2Gong-Nan Xie3Mohammad Mehdi Rashidi4Yi-Jun Zhou5Xiao-Jun Yang6College of Science, Hebei United University, Tangshan 063009, ChinaCollege of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaDepartment of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, ItalySchool of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, ChinaDepartment of Mechanical Engineering, Bu-Ali Sina University, P.O. Box 65175-4161, Hamedan, IranQinggong College, Hebei United University, Tangshan 063009, ChinaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaWe 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.http://dx.doi.org/10.1155/2014/372741 |
| spellingShingle | Ai-Min Yang Yu-Zhu Zhang Carlo Cattani Gong-Nan Xie Mohammad Mehdi Rashidi Yi-Jun Zhou Xiao-Jun Yang Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets Abstract and Applied Analysis |
| title | Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets |
| title_full | Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets |
| title_fullStr | Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets |
| title_full_unstemmed | Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets |
| title_short | Application of Local Fractional Series Expansion Method to Solve Klein-Gordon Equations on Cantor Sets |
| title_sort | application of local fractional series expansion method to solve klein gordon equations on cantor sets |
| url | http://dx.doi.org/10.1155/2014/372741 |
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