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

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Date

2016

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Journal ISSN

Volume Title

Publisher

Polish Acad Sciences inst Physics

Open Access Color

Green Open Access

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Abstract

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.

Description

Asad, Jihad/0000-0002-6862-1634; Blaszczyk, Tomasz/0000-0002-2818-402X

Keywords

Turkish CoHE Thesis Center URL

Fields of Science

0103 physical sciences, 01 natural sciences

Citation

Baleanu, D...et al. 2016). Numerical study for fractional euler-lagrange equations of a harmonic oscillator on a moving platform. Acta Physica Polonica A, 130(3), 688-691. http://dx.doi.org/ 10.12693/APhysPolA.130.688

WoS Q

Q4

Scopus Q

Q3
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OpenCitations Citation Count
6

Source

Acta Physica Polonica A

Volume

130

Issue

3

Start Page

688

End Page

691
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CrossRef : 3

Scopus : 10

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SCOPUS™ Citations

10

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Web of Science™ Citations

9

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2

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0.89732055

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