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A new generalization of the fractional Euler-Lagrange equation for a vertical mass-spring-damper

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Ullah, Malik Zaka
dc.contributor.author Mallawi, Fouad
dc.contributor.author Alshomrani, Ali Saleh
dc.date.accessioned 2022-03-01T11:58:14Z
dc.date.available 2022-03-01T11:58:14Z
dc.date.issued 2021-11
dc.identifier.citation Baleanu, Dumitru...et al. (2021). "A new generalization of the fractional Euler-Lagrange equation for a vertical mass-spring-damper", Journal of Vibration and Control, Vol. 27, No. 21-22, pp. 2513-2522. tr_TR
dc.identifier.issn 1077-5463
dc.identifier.uri http://hdl.handle.net/20.500.12416/5053
dc.description.abstract In this new study, we investigate the motion of a forced mass-spring-damper in a vertical position. First, the classical Lagrangian as well as the classical Euler-Lagrange equation of motion are constructed. Then the fractional Euler-Lagrange equation is derived by extending the classical Lagrangian in the fractional sense. In this extension, a new form of the fractional derivative is employed including a general function as its kernel. The derived fractional Euler-Lagrange equation is then converted into a system of linear algebraic equation by designing an efficient matrix approximation approach. The numerical findings are reported verifying the theoretical investigations. According to the results, some remarkable thinks are achieved; indeed, the numerical simulations show that different aspects of the system under study can be explored with regard to the flexibility found in selecting the kernel contrary to the traditional fractional models. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1177/1077546320961685 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Mass-Spring-Damper tr_TR
dc.subject Vertical Position tr_TR
dc.subject Fractional Euler-Lagrange Equation tr_TR
dc.subject General Derivative tr_TR
dc.subject Numerical Method tr_TR
dc.title A new generalization of the fractional Euler-Lagrange equation for a vertical mass-spring-damper tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Vibration and Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 27 tr_TR
dc.identifier.issue 21-22 tr_TR
dc.identifier.startpage 2513 tr_TR
dc.identifier.endpage 2522 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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