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arXiv.org e-Print Archive
Preprint . 2004
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https://dx.doi.org/10.48550/ar...
Article . 2004
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Lagrangians with linear velocities within Riemann-Liouville fractional derivatives

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2004Embargo end date: 01 Jan 2004Publisher:arXivJournal:Il Nuovo Cimento B, volume 119, pages 73-79
Authors: T. Avkar; Dumitru Baleanu;

doi: 10.48550/arxiv.math-ph/0405012 , 10.1393/ncb/i2003-10062-y

arXiv: http://arxiv.org/abs/math-ph/0405012

Lagrangians with linear velocities within Riemann-Liouville fractional derivatives

Abstract

Lagrangians linear in velocities were analyzed using the fractional calculus and the Euler-Lagrange equations were derived. Two examples were investigated in details, the explicit solutions of Euler-Lagrange equations were obtained and the recovery of the classical results was discussed.

7 pages, LATEX,accepted for publication in Il Nuovo Cimento B

Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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