Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets
We proposed a local fractional series expansion method to solve the wave and diffusion equations on Cantor sets. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/351057 |
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| _version_ | 1841524649692758016 |
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| author | Ai-Min Yang Xiao-Jun Yang Zheng-Biao Li |
| author_facet | Ai-Min Yang Xiao-Jun Yang Zheng-Biao Li |
| author_sort | Ai-Min Yang |
| collection | DOAJ |
| description | We proposed a local fractional series expansion method to solve the wave and diffusion equations on Cantor sets. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives. |
| format | Article |
| id | doaj-art-95225c7b762c4cd9be73a594c506a4f7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-95225c7b762c4cd9be73a594c506a4f72025-02-03T05:47:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/351057351057Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor SetsAi-Min Yang0Xiao-Jun Yang1Zheng-Biao Li2College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, ChinaCollege of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, ChinaWe proposed a local fractional series expansion method to solve the wave and diffusion equations on Cantor sets. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.http://dx.doi.org/10.1155/2013/351057 |
| spellingShingle | Ai-Min Yang Xiao-Jun Yang Zheng-Biao Li Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets Abstract and Applied Analysis |
| title | Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets |
| title_full | Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets |
| title_fullStr | Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets |
| title_full_unstemmed | Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets |
| title_short | Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets |
| title_sort | local fractional series expansion method for solving wave and diffusion equations on cantor sets |
| url | http://dx.doi.org/10.1155/2013/351057 |
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