Fractional Generalization of Gradient Systems
arXiv:nlin/0604007 · doi:10.1007/s11005-005-8444-z
Abstract
We consider a fractional generalization of gradient systems. We use differential forms and exterior derivatives of fractional orders. Examples of fractional gradient systems are considered. We describe the stationary states of these systems.
11 pages, LaTeX
References in corpus (7)
- Continuous Medium Model for Fractal Media
- Fractional Ginzburg-Landau equation for fractal media
- Fractional Hydrodynamic Equations for Fractal Media
- Fractional Generalization of Liouville Equations
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Cited by in corpus (13)
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- Map of Discrete System into Continuous
- Fractional Derivative as Fractional Power of Derivative
- Fractional Statistical Mechanics
- Nonholonomic Constraints with Fractional Derivatives
- Magnetohydrodynamics of Fractal Media
- Transport Equations from Liouville Equations for Fractional Systems
- Fractional Nonholonomic Ricci Flows
- Fractional Liouville Equation on Lattice Phase-Space
- Spatial Rotation of the Fractional Derivative in Two Dimensional Space
- General Fractional Vector Calculus