Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators
The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.
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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/10.1155/2013/316978 |
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| _version_ | 1850167328108445696 |
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| author | Yang Zhao Dumitru Baleanu Mihaela Cristina Baleanu De-Fu Cheng Xiao-Jun Yang |
| author_facet | Yang Zhao Dumitru Baleanu Mihaela Cristina Baleanu De-Fu Cheng Xiao-Jun Yang |
| author_sort | Yang Zhao |
| collection | DOAJ |
| description | The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented. |
| format | Article |
| id | doaj-art-e21c29d73dac47168a3d8ed64b72696b |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e21c29d73dac47168a3d8ed64b72696b2025-08-20T02:21:13ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/316978316978Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional OperatorsYang Zhao0Dumitru Baleanu1Mihaela Cristina Baleanu2De-Fu Cheng3Xiao-Jun Yang4Electronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, ChinaDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaMihail Sadoveanu Theoretical High School, District 2, Street Popa Lazar No. 8, 021586 Bucharest, RomaniaCollege of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, ChinaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, ChinaThe mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.http://dx.doi.org/10.1155/2013/316978 |
| spellingShingle | Yang Zhao Dumitru Baleanu Mihaela Cristina Baleanu De-Fu Cheng Xiao-Jun Yang Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators Abstract and Applied Analysis |
| title | Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators |
| title_full | Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators |
| title_fullStr | Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators |
| title_full_unstemmed | Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators |
| title_short | Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators |
| title_sort | mappings for special functions on cantor sets and special integral transforms via local fractional operators |
| url | http://dx.doi.org/10.1155/2013/316978 |
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