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: Asma Ali, Elbeleze,, Bachok M., Taib,, Adem, Kilicman,
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2015
Subjects:
Online Access:http://ddms.usim.edu.my/handle/123456789/8206
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spelling my.usim-82062017-02-23T03:33:29Z Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman, Klein-Gordon Equation Fluid Discontinuities Mechanics 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. 2015-05-19T02:05:35Z 2015-05-19T02:05:35Z 2013 Article 1024-123X http://ddms.usim.edu.my/handle/123456789/8206 en Hindawi Publishing Corporation
institution Universiti Sains Islam Malaysia
building USIM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universit Sains Islam i Malaysia
content_source USIM Institutional Repository
url_provider http://ddms.usim.edu.my/
language English
topic Klein-Gordon Equation
Fluid
Discontinuities
Mechanics
spellingShingle Klein-Gordon Equation
Fluid
Discontinuities
Mechanics
Asma Ali, Elbeleze,
Bachok M., Taib,
Adem, Kilicman,
Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation
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 Asma Ali, Elbeleze,
Bachok M., Taib,
Adem, Kilicman,
author_facet Asma Ali, Elbeleze,
Bachok M., Taib,
Adem, Kilicman,
author_sort Asma Ali, Elbeleze,
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 2015
url http://ddms.usim.edu.my/handle/123456789/8206
_version_ 1645152364835897344
score 13.214268