Lagrangians with linear velocities within Riemann-Liouville fractional derivatives
Mathematical Physics
2010-11-11 v1 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0405012,
title = {Lagrangians with linear velocities within Riemann-Liouville fractional derivatives},
author = {D. Baleanu and T. Avkar},
journal= {arXiv preprint arXiv:math-ph/0405012},
year = {2010}
}
Comments
7 pages, LATEX,accepted for publication in Il Nuovo Cimento B