Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method
The local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative. The obtained results give the present method that is very effective and simple for solving the differential equations on Cantor set.
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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/10.1155/2014/396469 |
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| _version_ | 1832557028462034944 |
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| author | Shao-Hong Yan Xiao-Hong Chen Gong-Nan Xie Carlo Cattani Xiao-Jun Yang |
| author_facet | Shao-Hong Yan Xiao-Hong Chen Gong-Nan Xie Carlo Cattani Xiao-Jun Yang |
| author_sort | Shao-Hong Yan |
| collection | DOAJ |
| description | The local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative. The obtained results give the present method that is very effective and simple for solving the differential equations on Cantor set. |
| format | Article |
| id | doaj-art-70b9759e93464d5797643f8d35f5dc5d |
| 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-70b9759e93464d5797643f8d35f5dc5d2025-02-03T05:43:53ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/396469396469Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition MethodShao-Hong Yan0Xiao-Hong Chen1Gong-Nan Xie2Carlo Cattani3Xiao-Jun Yang4College of Geophysics and Information Engineering, China University of Petroleum, Beijing 102249, ChinaCollege of Geophysics and Information Engineering, China University of Petroleum, Beijing 102249, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi 710048, ChinaDepartment of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, ItalyDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaThe local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative. The obtained results give the present method that is very effective and simple for solving the differential equations on Cantor set.http://dx.doi.org/10.1155/2014/396469 |
| spellingShingle | Shao-Hong Yan Xiao-Hong Chen Gong-Nan Xie Carlo Cattani Xiao-Jun Yang Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method Abstract and Applied Analysis |
| title | Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method |
| title_full | Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method |
| title_fullStr | Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method |
| title_full_unstemmed | Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method |
| title_short | Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method |
| title_sort | solving fokker planck equations on cantor sets using local fractional decomposition method |
| url | http://dx.doi.org/10.1155/2014/396469 |
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