Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain
From the local fractional calculus viewpoint, Poisson and Laplace equations were presented in this paper. Their applications to the electrostatics in fractal media are discussed and their local forms in the Cantor-type cylindrical coordinates are also obtained.
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/590574 |
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| _version_ | 1832554044825010176 |
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| author | Yang-Yang Li Yang Zhao Gong-Nan Xie Dumitru Baleanu Xiao-Jun Yang Kai Zhao |
| author_facet | Yang-Yang Li Yang Zhao Gong-Nan Xie Dumitru Baleanu Xiao-Jun Yang Kai Zhao |
| author_sort | Yang-Yang Li |
| collection | DOAJ |
| description | From the local fractional calculus viewpoint, Poisson and Laplace equations were presented in this paper. Their applications to the electrostatics in fractal media are discussed and their local forms in the Cantor-type cylindrical coordinates are also obtained. |
| format | Article |
| id | doaj-art-d8994a692af849b1868bcc5995f20104 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d8994a692af849b1868bcc5995f201042025-02-03T05:52:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/590574590574Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal DomainYang-Yang Li0Yang Zhao1Gong-Nan Xie2Dumitru Baleanu3Xiao-Jun Yang4Kai Zhao5Northeast Institute of Geography and Agroecology, Chinese Academy of Sciences, Changchun 130102, ChinaElectronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, ChinaDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaNortheast Institute of Geography and Agroecology, Chinese Academy of Sciences, Changchun 130102, ChinaFrom the local fractional calculus viewpoint, Poisson and Laplace equations were presented in this paper. Their applications to the electrostatics in fractal media are discussed and their local forms in the Cantor-type cylindrical coordinates are also obtained.http://dx.doi.org/10.1155/2014/590574 |
| spellingShingle | Yang-Yang Li Yang Zhao Gong-Nan Xie Dumitru Baleanu Xiao-Jun Yang Kai Zhao Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain Advances in Mathematical Physics |
| title | Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain |
| title_full | Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain |
| title_fullStr | Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain |
| title_full_unstemmed | Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain |
| title_short | Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain |
| title_sort | local fractional poisson and laplace equations with applications to electrostatics in fractal domain |
| url | http://dx.doi.org/10.1155/2014/590574 |
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