## Ara

Toplam kayıt 21, listelenen: 1-10

#### Fractional Nambu Mechanics

(Springer/Plenum Publishers, 2009-04)

The fractional generalization of Nambu mechanics is constructed by using the differential forms and exterior derivatives of fractional orders. The generalized Pfaffian equations are obtained and one example is investigated ...

#### Fractional differential equations and their applications

(2004)

The Laplace transform method for solving fractional differential equations is pre sented. The fractional diffusion and fractional Schrödinger equations together with their properties are investigated. The Lagrangians linear ...

#### 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 ...

#### Fractional WKB approximation

(Springer, 2009-07)

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 ...

#### Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations

(Springer, 2009-10)

This paper presents the fractional order Euler-Lagrange equations and the transversality conditions for fractional variational problems with fractional integral and fractional derivatives defined in the sense of Caputo and ...

#### Hamiltonian structure of fractional first order lagrangian

(Springer/Plenum Publishers, 2010-02)

In this paper, we show that the fractional constraint Hamiltonian formulation, using Dirac brackets, leads to the same equations as those obtained from fractional Euler-Lagrange equations. Furthermore, the fractional ...

#### Fractional time action and perturbed gravity

(World Scientific, 2011-06)

In this paper, we used the scaling concepts of Mandelbrot of fractals in variational problems of mechanical systems in order to re-write the action integral function as an integration over the fractional time. In addition, ...

#### Fractional Newtonian mechanics

(Versita, 2010-02)

In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional ...

#### Quantization of fractional systems using WKB approximation

(Elsevier Science, 2010-04)

The Caputo's fractional derivative is used to quantize fractional systems using (WKB) approximation. The wave function is build such that the phase factor is the same as the Hamilton's principle function S. The energy ...

#### Solving the Fractional Order Bloch Equation

(John Wiley&Sons Inc, 2009-01)

Nuclear magnetic resonance (NMR) is a physical phenomenon widely used in chemistry, medicine, and engineering to study complex materials. NMR is governed by the Bloch equation, which relates a macroscopic model of magnetization ...