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

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dc.authorid Asad, Jihad/0000-0002-6862-1634
dc.authorid Petras, Ivo/0000-0002-9250-6986
dc.authorscopusid 7005872966
dc.authorscopusid 8898843900
dc.authorscopusid 23975184900
dc.authorwosid Asad, Jihad/F-5680-2011
dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.authorwosid Asad, Jihad/P-2975-2016
dc.authorwosid Petras, Ivo/B-1393-2009
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Asad, Jihad H.
dc.contributor.author Petras, Ivo
dc.contributor.other Matematik
dc.date.accessioned 2017-03-29T10:41:50Z
dc.date.available 2017-03-29T10:41:50Z
dc.date.issued 2015
dc.department Çankaya University en_US
dc.department-temp [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest 76900, Romania; [Asad, Jihad H.] Palestine Tech Univ, Coll Arts & Sci, Dept Phys, Tulkarm, Israel; [Petras, Ivo] Tech Univ Kosice, BERG Fac, Kosice 04200, Slovakia en_US
dc.description Asad, Jihad/0000-0002-6862-1634; Petras, Ivo/0000-0002-9250-6986 en_US
dc.description.abstract In 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.publishedMonth 7
dc.description.sponsorship [VEGA: 1/0552/14]; [1/0908/15]; [APVV -0482-11] en_US
dc.description.sponsorship The work of Ivo Petras was supported in part by Grants VEGA: 1/0552/14, 1/0908/15, and APVV -0482-11. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citation Baleanu, 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/s11071-015-1975-7 en_US
dc.identifier.doi 10.1007/s11071-015-1975-7
dc.identifier.endpage 102 en_US
dc.identifier.issn 0924-090X
dc.identifier.issn 1573-269X
dc.identifier.issue 1-2 en_US
dc.identifier.scopus 2-s2.0-84930760955
dc.identifier.scopusquality Q1
dc.identifier.startpage 97 en_US
dc.identifier.uri https://doi.org/10.1007/s11071-015-1975-7
dc.identifier.volume 81 en_US
dc.identifier.wos WOS:000355919700008
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 20
dc.subject Riemann-Liouville Derivatives en_US
dc.subject Vibration en_US
dc.subject Thin Elastica en_US
dc.subject Fractional Euler-Lagrange Equations en_US
dc.subject Grunwald-Letnikov Approach en_US
dc.title Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model tr_TR
dc.title Numerical Solution of the Fractional Euler-lagrange's Equations of a Thin Elastica Model en_US
dc.type Article en_US
dc.wos.citedbyCount 19
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery f4fffe56-21da-4879-94f9-c55e12e4ff62
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relation.isOrgUnitOfPublication.latestForDiscovery 26a93bcf-09b3-4631-937a-fe838199f6a5

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