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Fractional investigation of time-dependent mass pendulum

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jajarmi, Amin
dc.contributor.author Defterli, Özlem
dc.contributor.author Wannan, Rania
dc.contributor.author Sajjadi, Samaneh S
dc.contributor.author Asad, Jihad H.
dc.date.accessioned 2023-12-19T12:51:28Z
dc.date.available 2023-12-19T12:51:28Z
dc.date.issued 2023
dc.identifier.citation Baleanu, D...et.al. (2023). "Fractional investigation of time-dependent mass pendulum", Journal of Low Frequency Noise Vibration and Active Control. tr_TR
dc.identifier.issn 14613484
dc.identifier.uri http://hdl.handle.net/20.500.12416/6800
dc.description.abstract In this paper, we aim to study the dynamical behaviour of the motion for a simple pendulum with a mass decreasing exponentially in time. To examine this interesting system, we firstly obtain the classical Lagrangian and the Euler-Lagrange equation of the motion accordingly. Later, the generalized Lagrangian is constructed via non-integer order derivative operators. The corresponding non-integer Euler-Lagrange equation is derived, and the calculated approximate results are simulated with respect to different non-integer orders. Simulation results show that the motion of the pendulum with time-dependent mass exhibits interesting dynamical behaviours, such as oscillatory and non-oscillatory motions, and the nature of the motion depends on the order of non-integer derivative; they also demonstrate that utilizing the fractional Lagrangian approach yields a model that is both valid and flexible, displaying various properties of the physical system under investigation. This approach provides a significant advantage in understanding complex phenomena, which cannot be achieved through classical Lagrangian methods. Indeed, the system characteristics, such as overshoot, settling time, and peak time, vary in the fractional case by changing the value of α. Also, the classical formulation is recovered by the corresponding fractional model when α tends to 1, while their output specifications are completely different. These successful achievements demonstrate diverse properties of physical systems, enhancing the adaptability and effectiveness of the proposed scheme for modelling complex dynamics. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1177/14613484231187439 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Lagrangian tr_TR
dc.subject Mass Varying With Time tr_TR
dc.subject Simple Pendulum tr_TR
dc.subject Simulation Technique tr_TR
dc.title Fractional investigation of time-dependent mass pendulum tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Low Frequency Noise Vibration and Active Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.authorID 31401 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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