MOTION OF A SPHERICAL PARTICLE IN A ROTATING PARABOLA USING FRACTIONAL LAGRANGIAN

作者：Baleanu D; Asad J H^*; Alipour M; Blaszczyk T

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2017, 79(2): 183-192.

• Caputo Fractional Derivatives
• Riemann-Liouville fractional integral
• Particle in a Rotating Parabola
• Bernstein operational matrices

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).

• 出版日期2017