Maxwell’s Equations on Cantor Sets: A Local Fractional Approach
Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Local fractional differential forms of Maxwe...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/686371 |
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| _version_ | 1849692744721629184 |
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| author | Yang Zhao Dumitru Baleanu Carlo Cattani De-Fu Cheng Xiao-Jun Yang |
| author_facet | Yang Zhao Dumitru Baleanu Carlo Cattani De-Fu Cheng Xiao-Jun Yang |
| author_sort | Yang Zhao |
| collection | DOAJ |
| description | Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Local fractional differential forms of Maxwell’s equations on Cantor sets in the Cantorian and Cantor-type cylindrical coordinates are obtained. Maxwell's equations on Cantor set with local fractional operators are the first step towards a unified theory of Maxwell’s equations for the dynamics of cold dark matter. |
| format | Article |
| id | doaj-art-926bb464ad574af19bb70b373a26d71a |
| institution | DOAJ |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-926bb464ad574af19bb70b373a26d71a2025-08-20T03:20:37ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/686371686371Maxwell’s Equations on Cantor Sets: A Local Fractional ApproachYang Zhao0Dumitru Baleanu1Carlo Cattani2De-Fu Cheng3Xiao-Jun Yang4College of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, ChinaDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, ItalyCollege of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, ChinaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, ChinaMaxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Local fractional differential forms of Maxwell’s equations on Cantor sets in the Cantorian and Cantor-type cylindrical coordinates are obtained. Maxwell's equations on Cantor set with local fractional operators are the first step towards a unified theory of Maxwell’s equations for the dynamics of cold dark matter.http://dx.doi.org/10.1155/2013/686371 |
| spellingShingle | Yang Zhao Dumitru Baleanu Carlo Cattani De-Fu Cheng Xiao-Jun Yang Maxwell’s Equations on Cantor Sets: A Local Fractional Approach Advances in High Energy Physics |
| title | Maxwell’s Equations on Cantor Sets: A Local Fractional Approach |
| title_full | Maxwell’s Equations on Cantor Sets: A Local Fractional Approach |
| title_fullStr | Maxwell’s Equations on Cantor Sets: A Local Fractional Approach |
| title_full_unstemmed | Maxwell’s Equations on Cantor Sets: A Local Fractional Approach |
| title_short | Maxwell’s Equations on Cantor Sets: A Local Fractional Approach |
| title_sort | maxwell s equations on cantor sets a local fractional approach |
| url | http://dx.doi.org/10.1155/2013/686371 |
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