Toplam kayıt 26, listelenen: 1-10
Generalized variational calculus in terms of multi-parameters fractional derivatives
(Elsevier Science, 2011-12)
In this paper, we briefly introduce two generalizations of work presented a few years ago on fractional variational formulations. In the first generalization, we consider the Hilfer's generalized fractional derivative that ...
On fractional Schrodinger equation in alpha-dimensional fractional space
(Pergamon-Elsevier Science, 2009-06)
The Schrodinger equation is solved in a-dimensional fractional space with a Coulomb potential proportional to 1/r(beta-2), 2 <= beta <= 4. The wave functions are studied in terms of spatial dimensionality alpha and beta ...
Fractional multipoles in fractional space
(Pergamon-Elsevier ,Science ltd, 2007-02)
Gauss’ law in -dimensional fractional space is investigated. The electrostatic potential with th-order fractional multipole is obtained in -dimensionally fractional space.
A fractional Dirac equation and its solution
(IOP Publishing Ltd, 2010-02-05)
This paper presents a fractional Dirac equation and its solution. The fractional Dirac equation may be obtained using a fractional variational principle and a fractional Klein-Gordon equation; both methods are considered ...
Equations of motion for Einstein’s field in non-integer dimensional space
(Inst Physics Acad Sci Czech Republic, 2006-04)
Equations of motion for Einstein's field in fractional dimension of 4 spatial coordinates are obtained. It is shown that time dependent part of Einstein's wave function is single valued for only 4-integer dimensional space
Fractional Hamiltonian analysis of higher order derivatives systems
(American Institute of Physics, 2006-10)
The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski’s formulation is obtained. The fractional path integral of both simple harmonic oscillator with an ...
The Hamilton formalism with fractional derivatives
(Academic Press Inc Elsevier Science, 2007-03-15)
Recently the traditional calculus of variations has been extended to be applicable for systems containing fractional derivatives. In this paper the passage from the Lagrangian containing fractional derivatives to the ...
Heisenberg's equations of motion with fractional derivatives
(Sage Publications Ltd, 2007-10)
Fractional variational principles is a new topic in the field of fractional calculus and it has been subject to intense debate during the last few years. One of the important applications of fractional variational principles ...
Hamiltonian formulation of classical fields within Riemann-Liouville fractional derivatives
(Royal Swedish Acad Sciences, 2006-05)
The fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail
Fractional WKB approximation
Wentzel-Kramer-Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case, the wave function is constructed such that the phase factor is the ...