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Motion Of A Spherical Particle In A Rotating Parabola Using Fractional Lagrangian

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Asad, Jihad H.
dc.contributor.author Alipour, Mohsen
dc.contributor.author Blaszczyk, Tomasz
dc.date.accessioned 2020-02-18T07:20:25Z
dc.date.available 2020-02-18T07:20:25Z
dc.date.issued 2017
dc.identifier.citation Baleanu, Dumitru...et al. (2017). "Motion Of A Spherical Particle In A Rotating Parabola Using Fractional Lagrangian", University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics, Vol. 79, No: 2, pp. 183-192. tr_TR
dc.identifier.issn 1223-7027
dc.identifier.uri http://hdl.handle.net/20.500.12416/2472
dc.description.abstract In this work, the fractional Lagrangian of a particle moving in a rotating parabola is used to obtain the fractional Euler- Lagrange equations of motion where derivatives within it are given in Caputo fractional derivative. The obtained fractional Euler- Lagrange equations are solved numerically by applying the Bernstein operational matrices with Tau method. The results obtained are very good and when the order of derivative closes to 1, they are in good agreement with those obtained in Ref. [10] using Multi step- Differential Transformation Method (Ms-DTM). tr_TR
dc.language.iso eng tr_TR
dc.publisher Univ Politehnica Bucharest tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Caputo Fractional Derivatives tr_TR
dc.subject Riemann-Liouville Fractional Integral tr_TR
dc.subject Particle in a Rotating Parabola tr_TR
dc.subject Bernstein Operational Matrices tr_TR
dc.title Motion Of A Spherical Particle In A Rotating Parabola Using Fractional Lagrangian tr_TR
dc.type article tr_TR
dc.relation.journal University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 79 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 183 tr_TR
dc.identifier.endpage 192 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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