Baleanu, DumitruAsad, Jihad H.Alipour, MohsenBlaszczyk, Tomasz2020-02-182020-02-182017Baleanu, 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. 183-192.1223-7027http://hdl.handle.net/20.500.12416/2472In 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).eninfo:eu-repo/semantics/closedAccessCaputo Fractional DerivativesRiemann-Liouville Fractional IntegralParticle in a Rotating ParabolaBernstein Operational MatricesArticle792183192