Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates
The main object of this paper is to investigate the Helmholtz and diffusion equations on the Cantor sets involving local fractional derivative operators. The Cantor-type cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. Two illustrative exa...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/754248 |
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| author | Ya-Juan Hao H. M. Srivastava Hossein Jafari Xiao-Jun Yang |
| author_facet | Ya-Juan Hao H. M. Srivastava Hossein Jafari Xiao-Jun Yang |
| author_sort | Ya-Juan Hao |
| collection | DOAJ |
| description | The main object of this paper is to investigate the Helmholtz and diffusion equations on the Cantor sets involving local fractional derivative operators. The Cantor-type cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. Two illustrative examples for the Helmholtz and diffusion equations on the Cantor sets are shown by making use of the Cantorian and Cantor-type cylindrical coordinates. |
| format | Article |
| id | doaj-art-123e8786ca354b33bd6c73471b6ebb81 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-123e8786ca354b33bd6c73471b6ebb812025-02-03T05:51:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/754248754248Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical CoordinatesYa-Juan Hao0H. M. Srivastava1Hossein Jafari2Xiao-Jun Yang3College of Science, Yanshan University, Qinhuangdao 066004, ChinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3R4, CanadaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47415-416, IranDepartment of Mathematics and Mechanics, China University of Mining and Technology, Jiangsu, Xuzhou 221008, ChinaThe main object of this paper is to investigate the Helmholtz and diffusion equations on the Cantor sets involving local fractional derivative operators. The Cantor-type cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. Two illustrative examples for the Helmholtz and diffusion equations on the Cantor sets are shown by making use of the Cantorian and Cantor-type cylindrical coordinates.http://dx.doi.org/10.1155/2013/754248 |
| spellingShingle | Ya-Juan Hao H. M. Srivastava Hossein Jafari Xiao-Jun Yang Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates Advances in Mathematical Physics |
| title | Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates |
| title_full | Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates |
| title_fullStr | Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates |
| title_full_unstemmed | Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates |
| title_short | Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates |
| title_sort | helmholtz and diffusion equations associated with local fractional derivative operators involving the cantorian and cantor type cylindrical coordinates |
| url | http://dx.doi.org/10.1155/2013/754248 |
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