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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Main Authors: Elbeleze, Asma Ali, Kilicman, Adem, M. Taib, Bachok
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2013
Online Access: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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spelling 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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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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score 13.209306