Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators
We perform a comparison between the local fractional Adomian decomposition and local fractional function decomposition methods applied to the Laplace equation. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective...
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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/10.1155/2014/161580 |
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| author | Sheng-Ping Yan Hossein Jafari Hassan Kamil Jassim |
| author_facet | Sheng-Ping Yan Hossein Jafari Hassan Kamil Jassim |
| author_sort | Sheng-Ping Yan |
| collection | DOAJ |
| description | We perform a comparison between the local fractional Adomian decomposition and local fractional function decomposition methods applied to the Laplace equation. 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-52af1ff9268346c5ae244c642cfb077b |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-52af1ff9268346c5ae244c642cfb077b2025-08-20T02:05:12ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/161580161580Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional OperatorsSheng-Ping Yan0Hossein Jafari1Hassan Kamil Jassim2School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaDepartment of Mathematical Sciences, University of South Africa, Pretoria, South AfricaDepartment of Mathematics, University of Mazandaran, Babolsar 47415-416, IranWe perform a comparison between the local fractional Adomian decomposition and local fractional function decomposition methods applied to the Laplace equation. 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/10.1155/2014/161580 |
| spellingShingle | Sheng-Ping Yan Hossein Jafari Hassan Kamil Jassim Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators Advances in Mathematical Physics |
| title | Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators |
| title_full | Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators |
| title_fullStr | Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators |
| title_full_unstemmed | Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators |
| title_short | Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators |
| title_sort | local fractional adomian decomposition and function decomposition methods for laplace equation within local fractional operators |
| url | http://dx.doi.org/10.1155/2014/161580 |
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