Numerical Study for Fractional Euler-Lagrange Equations of a Harmonic Oscillator on a Moving Platform

• Authors: D. Baleanu , T. Blaszczyk , J. Asad , M. Alipour
• Languages of publication: EN

Abstracts

EN

We investigate the fractional harmonic oscillator on a moving platform. We obtained the fractional Euler-Lagrange equation from the derived fractional Lagrangian of the system which contains left Caputo fractional derivative. We transform the obtained differential equation of motion into a corresponding integral one and then we solve it numerically. Finally, we present many numerical simulations.

Keywords

EN

02.60.Jh; 02.60.Nm; 02.10.Ud; 02.30.Vv

Discipline

• 02.60.Jh: Numerical differentiation and integration
• 02.10.Ud: Linear algebra
• 02.30.Vv: Operational calculus
• 02.60.Nm: Integral and integrodifferential equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 3
• Pages: 688-691

Dates

published

2016-09

received

2015-12-29

(unknown)

2016-06-17

Contributors

author

D. Baleanu

• Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey
• Institute of Space Sciences, P.O. Box, MG-23, 76900 Magurele-Bucharest, Romania

author

T. Blaszczyk

• Institute of Mathematics, Częstochowa University of Technology, al. Armii Krajowej 21, 42-201 Częstochowa, Poland

author

J. Asad

• Department of Physics, College of Arts and Sciences, Palestine Technical University, P.O. Box 7, Tulkarm, Palestine

author

M. Alipour

• Department of Mathematics, Faculty of Basic Science, Babol University of Technology, P.O. Box 4717-1167, Babol, Iran

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Identifiers

DOI

10.12693/APhysPolA.130.688