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Citation - WoS: 196
Citation - Scopus: 229
Lagrangian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives
(Iop Publishing Ltd, 2005) Muslih, SI; Baleanu, D
The classical fields with fractional derivatives are investigated by using the fractional Lagrangian forniulation. The fractional ELder-Lagrange equations were obtained and two examples were studied.
Citation - WoS: 21
Citation - Scopus: 23
Hamilton-Jacobi Treatment of a Non-Relativistic Particle on a Curved Space
(Iop Publishing Ltd, 2001) Baleanu, D; Güler, Y
In this paper a non-relativistic particle moving on a hypersurface in a curved space and the multidimensional rotator are investigated using the Hamilton-Jacobi formalism. The equivalence with the Dirac Hamiltonian formalism is demonstrated in both Cartesian and curvilinear coordinates. The energy spectrum of the multidimensional rotator is equal to that of a pure Laplace-Beltrami operator with no additional constant arising from the curvature of the sphere.
Citation - WoS: 34
Hamiltonian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives
(Iop Publishing Ltd, 2006) Baleanu, D; Rabei, E; Muslih, SI
The fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail.

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