Variational Iteration Method for a Fractional-Order Brusselator System
This paper presents approximate analytical solutions for the fractional-order Brusselator system using the variational iteration method. The fractional derivatives are described in the Caputo sense. This method is based on the incorporation of the correction functional for the equation. Two examples...
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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/10.1155/2014/496323 |
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| author | H. Jafari Abdelouahab Kadem D. Baleanu |
| author_facet | H. Jafari Abdelouahab Kadem D. Baleanu |
| author_sort | H. Jafari |
| collection | DOAJ |
| description | This paper presents approximate analytical solutions for the fractional-order Brusselator system using the variational iteration method. The fractional derivatives are described in the Caputo sense. This method is based on the incorporation of the correction functional for the equation. Two examples are solved as illustrations, using symbolic computation. The numerical results show that the introduced approach is a promising tool for solving system of linear and nonlinear fractional differential equations. |
| format | Article |
| id | doaj-art-72525ed987fd458393673b07712deea0 |
| 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-72525ed987fd458393673b07712deea02025-08-20T03:33:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/496323496323Variational Iteration Method for a Fractional-Order Brusselator SystemH. Jafari0Abdelouahab Kadem1D. Baleanu2Department of Mathematics (Pure and Applied), Rhodes University, P.O. Box 946140, Grahamstown, South AfricaLMFN Mathematics Department, University of Setif, 19000, AlgeriaDepartment of Chemical and Materials Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaThis paper presents approximate analytical solutions for the fractional-order Brusselator system using the variational iteration method. The fractional derivatives are described in the Caputo sense. This method is based on the incorporation of the correction functional for the equation. Two examples are solved as illustrations, using symbolic computation. The numerical results show that the introduced approach is a promising tool for solving system of linear and nonlinear fractional differential equations.http://dx.doi.org/10.1155/2014/496323 |
| spellingShingle | H. Jafari Abdelouahab Kadem D. Baleanu Variational Iteration Method for a Fractional-Order Brusselator System Abstract and Applied Analysis |
| title | Variational Iteration Method for a Fractional-Order Brusselator System |
| title_full | Variational Iteration Method for a Fractional-Order Brusselator System |
| title_fullStr | Variational Iteration Method for a Fractional-Order Brusselator System |
| title_full_unstemmed | Variational Iteration Method for a Fractional-Order Brusselator System |
| title_short | Variational Iteration Method for a Fractional-Order Brusselator System |
| title_sort | variational iteration method for a fractional order brusselator system |
| url | http://dx.doi.org/10.1155/2014/496323 |
| work_keys_str_mv | AT hjafari variationaliterationmethodforafractionalorderbrusselatorsystem AT abdelouahabkadem variationaliterationmethodforafractionalorderbrusselatorsystem AT dbaleanu variationaliterationmethodforafractionalorderbrusselatorsystem |