176 citations · 189 across the 12 of their papers we have counts for
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A Central Difference Numerical Scheme for Fractional Optimal Control Problems
Dumitru Baleanu, Ozlem Defterli, Om P. Agrawal
This paper presents a modified numerical scheme for a class of Fractional Optimal Control Problems (FOCPs) formulated in Agrawal (2004) where a Fractional Derivative (FD) is define…
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…
Symplectic algorithm for systems with second-class constraints
Ozlem Defterli, Dumitru Baleanu
The 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 Schwi…
Fractional Hamilton formalism within Caputo's derivative
Dumitru Baleanu, Om P. Agrawal
In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta an…