On solving partial differential eqauations of fractional order by using the variational iteration method and multivariate padé approximation

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dc.authorid0000-0002-8148-7935en_US
dc.contributor.authorTurut, Veyis
dc.contributor.authorGüzel, Nuran
dc.date.accessioned2021-04-20T10:09:51Z
dc.date.available2021-04-20T10:09:51Z
dc.date.issued2013-04en_US
dc.departmentBatman Üniversitesi Fen - Edebiyat Fakültesi Matematik Bölümüen_US
dc.description.abstractIn this article, multivariate Padé approximation and variational iteration method proposed by He is adopted for solving linear and nonlinear fractional partial differential equations. The fractional derivatives are described in the Caputo sense. Numerical illustrations that include nonlinear timefractional hyperbolic equation and linear fractional Klein-Gordon equation are investigated to show efficiency of multivariate Padé approximation. Comparison of the results obtained by the variational iteration method with those obtained by multivariate Padé approximation reveals that the present methods are very effective and convenient.en_US
dc.identifier.citationTurut, V., Güzel, N. (2013). On solving partial differential eqauations of fractional order by using the variational iteration method and multivariate padé approximation. European Journal of Pure and Applied Mathematics, 6 (2), pp. 147-171.en_US
dc.identifier.endpage171en_US
dc.identifier.issn1307-5543
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ4en|US
dc.identifier.startpage147en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12402/2949
dc.identifier.volume6en_US
dc.language.isoenen_US
dc.publisherEuropean Journal of Pure and Applied Mathematicsen_US
dc.relation.journalEuropean Journal of Pure and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-sa/3.0/us/*
dc.subjectVariational Iteration Methoden_US
dc.subjectMultivariate Padé Approximationen_US
dc.subjectFractional Differential Equationen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.titleOn solving partial differential eqauations of fractional order by using the variational iteration method and multivariate padé approximationen_US
dc.typeArticleen_US

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