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A Fractional Lagrangian Approach for Two Masses with Linear and Cubic Nonlinear Stiffness

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dc.contributor.author Defterli, Özlem
dc.contributor.author Balenau, Dumitru
dc.contributor.author Jajarmi, Amin
dc.contributor.author Wannan, Rania
dc.contributor.author Asad, Jihad
dc.date.accessioned 2024-01-29T13:46:43Z
dc.date.available 2024-01-29T13:46:43Z
dc.date.issued 2023
dc.identifier.citation Defterli, Ö.;...et.al. "A Fractional Lagrangian Approach for Two Masses with Linear and Cubic Nonlinear Stiffness", 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Proceedings, 2023. tr_TR
dc.identifier.isbn 979-835032168-5
dc.identifier.uri http://hdl.handle.net/20.500.12416/7031
dc.description.abstract In this manuscript, the fractional dynamics of the two-mass spring system with two kinds of stiffness, namely linear and strongly nonlinear, are investigated. The corresponding fractional Euler-Lagrange equations of the system are derived being a system of two-coupled fractional differential equations with strong cubic nonlinear term. The numerical results of the system are obtained using Euler's approximation method and simulated with respect to the different values of the model parameters as mass, stiffness and order of the fractional derivative in use. The interpretation of the approximate results of the so-called generalized two-mass spring system is discussed via the fractional order. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1109/ICFDA58234.2023.10153247 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Euler's Approximation tr_TR
dc.subject Euler-Lagrange Formulation tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Nonlinear Springs tr_TR
dc.title A Fractional Lagrangian Approach for Two Masses with Linear and Cubic Nonlinear Stiffness tr_TR
dc.type conferenceObject tr_TR
dc.relation.journal 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 tr_TR
dc.contributor.authorID 31401 tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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