176 citations · 189 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
On exact solutions of a class of fractional Euler-Lagrange equations
Dumitru Baleanu, Juan J. Trujillo
In this paper, first a class of fractional differential equations are obtained by using the fractional variational principles. We find a fractional Lagrangian , where $_a^c…
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…