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Showing 2007Show all
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math-ph2007
On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
Dumitru Baleanu, Sami I. Muslih, Eqab M. Rabei
Fractional mechanics describes both conservative and non-conservative systems. The fractional variational principles gained importance in studying the fractional mechanics and seve…
math-ph2007
Fractional WKB Approximation
Eqab M. Rabei, Ibrahim M. A. Altarazi, Sami I. Muslih +1
Wentzel, Kramers, Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case the wave function is cons…
hep-th2007
Hamilton-Jacobi formulation of systems within Caputo's fractional derivative
Eqab M. Rabei, Ibtesam Almayteh, Sami I. Muslih +1
In this paper we develop a fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives. The fractional action function is obtained and the…