Nonholonomic Constraints with Fractional Derivatives
arXiv:math-ph/0603067 · doi:10.1088/0305-4470/39/31/010
Abstract
We consider the fractional generalization of nonholonomic constraints defined by equations with fractional derivatives and provide some examples. The corresponding equations of motion are derived using variational principle.
18 pages
References in corpus (27)
- Fractional Quantum Mechanics
- Time fractional Schrodinger equation
- Continuous Medium Model for Fractal Media
- Fractional Ginzburg-Landau equation for fractal media
- Fractional Hydrodynamic Equations for Fractal Media
- Fractional dynamics of systems with long-range interaction
- Nonlinear Fractional Dynamics on a Lattice with Long Range Interactions
- Fractional Generalization of Gradient and Hamiltonian Systems
- Fractional generalization of the Ginzburg-Landau equation: An unconventional approach to critical phenomena in complex media
- Fractional Generalization of Liouville Equations
- Fractional oscillator
- Fractional Systems and Fractional Bogoliubov Hierarchy Equations
- Dynamics with Low-Level Fractionality
- Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
- Fractional Liouville and BBGKI Equations
- Fractional Fokker-Planck Equation for Fractal Media
- Electromagnetic field of fractal distribution of charged particles
- Possible Experimental Test of Continuous Medium Model for Fractal Media
- Chaotic and pseudochaotic attractors of perturbed fractional oscillator
- Magnetohydrodynamics of Fractal Media
- Gravitational Field of Fractal Distribution of Particles
- Multipole Moments of Fractal Distribution of Charges
- Twist of fractional oscillations
- Fractional Generalization of Gradient Systems
- Classical Canonical Distribution for Dissipative Systems
- Stationary Solutions of Liouville Equations for Non-Hamiltonian Systems
- Thermodynamics of Few-Particle Systems