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Nonconservative systems within fractional generalized derivatives

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Muslih, Sami I.
dc.date.accessioned 2016-04-28T12:41:23Z
dc.date.available 2016-04-28T12:41:23Z
dc.date.issued 2008-09
dc.identifier.citation Baleanu, D., Muslih, S.I. (2008). Nonconservative systems within fractional generalized derivatives. Jornal of Vibration and Control, 14(9-10), 1301-1311. http://dx.doi.org/10.1177/1077546307087450 tr_TR
dc.identifier.issn 1077-5463
dc.identifier.uri http://hdl.handle.net/20.500.12416/941
dc.description.abstract A fractional derivative generalizes an ordinary derivative, and therefore the derivative of the product of two functions differs from that for the classical ( integer) case ; the integration by parts for Riemann-Liouville fractional derivatives involves both the left and right fractional derivatives. Despite these restrictions, fractional calculus models are good candidates for description of nonconservative systems. In this article, nonconservative Lagrangian mechanics are investigated within the fractional generalized derivative approach. The fractional Euler-Lagrange equations based on the Riemann-Liouville fractional derivatives are briefly presented. Using generalized fractional derivatives, we give a meaning for the term which appears in fractional Euler-Lagrange equations and contains the second order fractional derivative. The fractional Lagrangians and Hamiltonians of two illustrative nonconservative mechanical systems are investigated in detail tr_TR
dc.language.iso eng tr_TR
dc.publisher Sage Publications Ltd tr_TR
dc.relation.isversionof 10.1177/1077546307087450 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Nonconservative Systems tr_TR
dc.subject Fractional Derivatives tr_TR
dc.subject Generalized Derivatives tr_TR
dc.subject Fractional Lagrangian tr_TR
dc.subject Fractional Hamiltonian tr_TR
dc.subject Fractional Euler-Lagrange Equations tr_TR
dc.title Nonconservative systems within fractional generalized derivatives tr_TR
dc.type article tr_TR
dc.relation.journal Jornal of Vibration and Control tr_TR
dc.identifier.volume 14 tr_TR
dc.identifier.issue 9-10 tr_TR
dc.identifier.startpage 1301 tr_TR
dc.identifier.endpage 1311 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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