Fractional variational iteration method and its application to fractional partial differential equation
We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense. To show the efficiency of the considered method, some examples...
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Hindawi Publishing Corporation
2013
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my.upm.eprints.301242015-09-09T01:47:32Z http://psasir.upm.edu.my/id/eprint/30124/ Fractional variational iteration method and its application to fractional partial differential equation Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense. To show the efficiency of the considered method, some examples that include the fractional Klein-Gordon equation, fractional Burgers equation, and fractional Black-Scholes equation are investigated. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30124/1/Fractional%20variational%20iteration%20method%20and%20its%20application%20to%20fractional%20partial%20differential%20equation.pdf Elbeleze, Asma Ali and Kilicman, Adem and M. Taib, Bachok (2013) Fractional variational iteration method and its application to fractional partial differential equation. Mathematical Problems in Engineering, 2013. art. no. 543848. pp. 1-10. ISSN 1024-123X http://www.hindawi.com/journals/mpe/2013/543848/ 10.1155/2013/543848 English |
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We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense. To show the efficiency of the considered method, some examples that include the fractional Klein-Gordon equation, fractional Burgers equation, and fractional Black-Scholes equation are investigated. |
| format |
Article |
| author |
Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok |
| spellingShingle |
Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok Fractional variational iteration method and its application to fractional partial differential equation |
| author_facet |
Elbeleze, Asma Ali Kilicman, Adem M. Taib, Bachok |
| author_sort |
Elbeleze, Asma Ali |
| title |
Fractional variational iteration method and its application to fractional partial differential equation |
| title_short |
Fractional variational iteration method and its application to fractional partial differential equation |
| title_full |
Fractional variational iteration method and its application to fractional partial differential equation |
| title_fullStr |
Fractional variational iteration method and its application to fractional partial differential equation |
| title_full_unstemmed |
Fractional variational iteration method and its application to fractional partial differential equation |
| title_sort |
fractional variational iteration method and its application to fractional partial differential equation |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2013 |
| url |
http://psasir.upm.edu.my/id/eprint/30124/1/Fractional%20variational%20iteration%20method%20and%20its%20application%20to%20fractional%20partial%20differential%20equation.pdf http://psasir.upm.edu.my/id/eprint/30124/ http://www.hindawi.com/journals/mpe/2013/543848/ |
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