Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators
We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/535048 |
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| _version_ | 1832561450686611456 |
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| author | Dumitru Baleanu J. A. Tenreiro Machado Carlo Cattani Mihaela Cristina Baleanu Xiao-Jun Yang |
| author_facet | Dumitru Baleanu J. A. Tenreiro Machado Carlo Cattani Mihaela Cristina Baleanu Xiao-Jun Yang |
| author_sort | Dumitru Baleanu |
| collection | DOAJ |
| description | We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative. |
| format | Article |
| id | doaj-art-af60feba4f194e99ac9f8b8e7a6917a8 |
| 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-af60feba4f194e99ac9f8b8e7a6917a82025-02-03T01:25:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/535048535048Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional OperatorsDumitru Baleanu0J. A. Tenreiro Machado1Carlo Cattani2Mihaela Cristina Baleanu3Xiao-Jun Yang4Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida 431, 4200-072 Porto, PortugalDepartment of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, ItalyMihail Sadoveanu Theoretical High School, District 2, Street Popa Lazar No. 8, 021586 Bucharest, RomaniaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, ChinaWe perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.http://dx.doi.org/10.1155/2014/535048 |
| spellingShingle | Dumitru Baleanu J. A. Tenreiro Machado Carlo Cattani Mihaela Cristina Baleanu Xiao-Jun Yang Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators Abstract and Applied Analysis |
| title | Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators |
| title_full | Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators |
| title_fullStr | Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators |
| title_full_unstemmed | Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators |
| title_short | Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators |
| title_sort | local fractional variational iteration and decomposition methods for wave equation on cantor sets within local fractional operators |
| url | http://dx.doi.org/10.1155/2014/535048 |
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