Lagrangians With Linear Velocities Within Riemann-Liouville Fractional Derivatives

Baleanu, DAvkar, T2020-04-162025-09-182020-04-162025-09-182004Baleanu, Dumitru; Avkar, T., "Lagrangians with linear velocities within Riemann-Liouville fractional derivatives" Nuovo Cimento Della Societa Italiana Di Fisica B-General Physics Relativity Astronomy And Mathematical Physics And Methods, Vol.119, No.1, pp.73-79, (2004).2037-48951594-99820369-3554https://doi.org/10.1393/ncb/i2003-10062-yhttps://hdl.handle.net/20.500.12416/15076Lagrangians 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.eninfo:eu-repo/semantics/closedAccessLagrangians With Linear Velocities Within Riemann-Liouville Fractional DerivativesLagrangians with linear velocities within Riemann-Liouville fractional derivativesArticle10.1393/ncb/i2003-10062-y2-s2.0-4043139312