4 papers
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…
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…
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…
An Investigation of Singular Lagrangians as Field Systems
Eqab M. Rabei
The link between the treatment of singular lagrangians as field systems and the general approch is studied. It is shown that singular Lagrangians as field systems are always in exa…