Lagrangians with linear velocities within Riemann-Liouville fractional derivatives
classification
🧮 math-ph
hep-thmath.MP
keywords
wereequationseuler-lagrangefractionallagrangianslinearvelocitiesanalyzed
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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.
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