WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Conference Object Citation - WoS: 2Fractional Euler-Lagrange Equations for Constrained Systems(Amer inst Physics, 2004) Avkar, Tansel; Avkar, T; Baleanu, D; Baleanu, Dumitru; MatematikThe 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.Article Citation - WoS: 6Citation - Scopus: 11Hamilton Formulation for Continuous Systems With Second Order Derivatives(Springer/plenum Publishers, 2008) Muslih, Sami I.; Rabei, Eqab M.; Baleanu, Dumitru; El-Zalan, Hosam A.In this paper the Hamilton formulation for continuous systems with second order derivatives has been developed. We generalized the Hamilton formulation for continuous systems with second order derivatives and apply this new formulation to Podolsky generalized electrodynamics, comparing with the results obtained through Dirac's method.Conference Object Symplectic Algorithm for Systems With Second-Class Constraints(inst Physics Acad Sci Czech Republic, 2006) Defterli, Ozlem; Baleanu, DumitruThe recently modified Faddeev-Jackiw formalism for systems having one chain of four levels of only second-class constraints is applied to the non-trivial a = 1 bosonized chiral Schwinger model in (1+1) dimensions as well as to one mechanical system. The sets of obtained constraints are in agreement with Dirac's canonical formulation.