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Title: New aspects of the motion of a particle in a circular cavity
Authors: Baleanu, D
Asad, J. H.
Jajarmi, A
Keywords: Fractional calculus
Caputo derivative
Mittag-Leffler kernel
circular cavity
Euler method
Issue Date: Jun-2018
Citation: Baleanu, D., Asad, J.H., Jajarmi, A.(2018). 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 19(2), pp. 143-149
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
ISSN: 14549069
Appears in Collections:Applied science faculty

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