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Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAsad, Jihad H.
dc.contributor.authorPetras, Ivo
dc.date.accessioned2017-03-29T10:41:50Z
dc.date.available2017-03-29T10:41:50Z
dc.date.issued2015
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractIn this manuscript, we investigated the fractional thin elastic system. We studied the obtained fractional Euler-Lagrange's equations of the system numerically. The numerical study is based on Grunwald-Letnikov approach, which is power series expansion of the generating function. We present an illustrative example of the proposed numerical model of the system.en_US
dc.description.publishedMonth7
dc.identifier.citationBaleanu, D., Asad, J.H., Petras, I. (2015). Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model. Nonlinear Dynamics, 81(1-2), 97-102. http://dx.doi.org/10.1007/s11071-015-1975-7en_US
dc.identifier.doi10.1007/s11071-015-1975-7
dc.identifier.endpage102en_US
dc.identifier.issn0924-090X
dc.identifier.issue1-2en_US
dc.identifier.startpage97en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1509
dc.identifier.volume81en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRiemann-Liouville Derivativesen_US
dc.subjectVibrationen_US
dc.subjectThin Elasticaen_US
dc.subjectFractional Euler-Lagrange Equationsen_US
dc.subjectGrunwald-Letnikov Approachen_US
dc.titleNumerical solution of the fractional Euler-Lagrange's equations of a thin elastica modeltr_TR
dc.titleNumerical Solution of the Fractional Euler-lagrange's Equations of a Thin Elastica Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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