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

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Baleanu D., Blaszczyk T., Asad J., Alipour M.
Acta Physica Polonica A
|
2016
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vol. 130
|
issue 3
688-691
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.
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