Avkar, TanselAvkar, TBaleanu, DBaleanu, DumitruMatematik2025-09-232025-09-232004Avkar, T.; Baleanu, Dumitru, "Fractional Euler-Lagrange equations for constrained systems" Global Analysis and Applied Mathematics, Vol.729, pp.84-90, (2004).7354020940094-243Xhttps://hdl.handle.net/20.500.12416/15275The fractional calculus is the name for the theory of integrals and derivatives of arbitrary order, which generalize the notions of n-fold integration and integer-order differentiation. Differential equations of fractional order appear in certain applied problems and in theoretical researches. In this paper, the Euler-Lagrange equations of the Lagrangians linear in velocities were derived using the fractional calculus. Two examples of constrained systems possessing a gauge invariance are investigated in details, the explicit solutions of Euler-Lagrange equations are obtained, and the recovery of the classical results is discussed.eninfo:eu-repo/semantics/closedAccessRiemann-Liouville Fractional DerivativeConstrained SystemsFractional Euler-Lagrange EquationsConference Object