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The Fractional Model of Spring Pendulum: New Features Within Different Kernels

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Asad, Jihad H.
dc.contributor.author Jajarmi, Amin
dc.date.accessioned 2020-03-27T07:26:34Z
dc.date.available 2020-03-27T07:26:34Z
dc.date.issued 2018-07
dc.identifier.citation Baleanu, Dumitru; Asad, Jihad H.; Jajarmi, Amin, "The Fractional Model of Spring Pendulum: New Features Within Different Kernels", Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, Vol. 19, No. 3, pp. 447-454, (2018) tr_TR
dc.identifier.issn 1454-9069
dc.identifier.uri http://hdl.handle.net/20.500.12416/2758
dc.description.abstract In this work, new aspects of the fractional calculus (FC) are examined for a model of spring pendulum in fractional sense. First, we obtain the classical Lagrangian of the model, and as a result, we derive the classical Euler-Lagrange equations of the motion. Second, we generalize the classical Lagrangian to fractional case and derive the fractional Euler-Lagrange equations in terms of fractional derivatives with singular and nonsingular kernels, respectively. Finally, we provide the numerical solution of these equations within two fractional operators for some fractional orders and initial conditions. Numerical simulations verify that taking into account the recently features of the FC provides more realistic models demonstrating hidden aspects of the real-world phenomena. 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 Spring Pendulum tr_TR
dc.subject Euler-Lagrange Equation tr_TR
dc.subject Fractional Derivative tr_TR
dc.subject Nonsingular Kernel tr_TR
dc.title The Fractional Model of Spring Pendulum: New Features Within Different Kernels tr_TR
dc.type article tr_TR
dc.relation.journal Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 19 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 447 tr_TR
dc.identifier.endpage 454 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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