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Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Asad, Jihad H.
dc.contributor.author Petras, Ivo
dc.contributor.author Elagan, S.
dc.contributor.author Bilgen, A.
dc.date.accessioned 2020-04-09T15:46:08Z
dc.date.available 2020-04-09T15:46:08Z
dc.date.issued 2012
dc.identifier.citation Baleanu, D...et al. (2012). "FRACTIONAL EULER-LAGRANGE EQUATION OF CALDIROLA-KANAI OSCILLATOR, Romanian Reports In Physics, Vol. 64, pp. 1171-1177. tr_TR
dc.identifier.issn 1221-1451
dc.identifier.issn 1841-8759
dc.identifier.uri http://hdl.handle.net/20.500.12416/3016
dc.description.abstract A study of the fractional Lagrangian of the so-called Caldirola-Kanai oscillator is presented. The fractional Euler-Lagrangian equations of the system have been obtained, and the obtained Euler-Lagrangian equations have been studied numerically. The numerical study is based on the so-called Grunwald-Letnikov approach, which is power series expansion of the generating function (backward and forward difference) and it can be easy derived from the Grunwald-Letnikov definition of the fractional derivative. This approach is based on the fact, that Riemman-Liouville fractional derivative is equivalent to the Grunwald-Letnikov derivative for a wide class of the functions. tr_TR
dc.language.iso eng tr_TR
dc.publisher Editura Academiei Romane tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Riemann-Liouville Derivatives tr_TR
dc.subject Caldirola-Kanai Oscillator tr_TR
dc.subject Grunwald-Letnikov Approach tr_TR
dc.title Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator tr_TR
dc.type article tr_TR
dc.relation.journal Romanian Reports In Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 64 tr_TR
dc.identifier.startpage 1171 tr_TR
dc.identifier.endpage 1177 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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