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New Aspects of the Motion of A Particle In A Circular Cavity

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Asad, Jihad H.
dc.contributor.author Jajarmi, Amin
dc.date.accessioned 2020-03-31T07:25:47Z
dc.date.available 2020-03-31T07:25:47Z
dc.date.issued 2018-04
dc.identifier.citation Baleanu, Dumitru; Asad, Jihad H.; Jajarmi, Amin, "New Aspects of the Motion of A Particle In A Circular Cavity", Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, Vol. 9, No. 2, pp. 361-367, (2018) tr_TR
dc.identifier.issn 1454-9069
dc.identifier.uri http://hdl.handle.net/20.500.12416/2794
dc.description.abstract In this work, we consider the free motion of a particle in a circular cavity. For this model, we obtain the classical and fractional Lagrangian as well as the fractional Hamilton's equations (FHEs) of motion. The fractional equations are formulated in the sense of Caputo and a new fractional derivative with Mittag-Leffler nonsingular kernel. Numerical simulations of the FHEs within these two fractional operators are presented and discussed for some fractional derivative orders. Numerical results are based on a discretization scheme using the Euler convolution quadrature rule for the discretization of the convolution integral. Simulation results show that the fractional calculus provides more flexible models demonstrating new 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 Fractional Calculus tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Mittag-Leffler Kernel tr_TR
dc.subject Particle tr_TR
dc.subject Circular Cavity tr_TR
dc.subject Euler Method tr_TR
dc.title New Aspects of the Motion of A Particle In A Circular Cavity 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 9 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 361 tr_TR
dc.identifier.endpage 367 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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