Fractional Dynamics Applications of Fractional Calculus to Dynamics of Particles, Fields and Media /
"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal propertie...
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Format: | Electronic eBook |
Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
2010.
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Series: | Nonlinear Physical Science,
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Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Fractional Continuous Models of Fractal Distributions
- Fractional Integration and Fractals
- Hydrodynamics of Fractal Media
- Fractal Rigid Body Dynamics
- Electrodynamics of Fractal Distributions of Charges and Fields
- Ginzburg-Landau Equation for Fractal Media
- Fokker-Planck Equation for Fractal Distributions of Probability
- Statistical Mechanics of Fractal Phase Space Distributions
- Fractional Dynamics and Long-Range Interactions
- Fractional Dynamics of Media with Long-Range Interaction
- Fractional Ginzburg-Landau Equation
- Psi-Series Approach to Fractional Equations
- Fractional Spatial Dynamics
- Fractional Vector Calculus
- Fractional Exterior Calculus and Fractional Differential Forms
- Fractional Dynamical Systems
- Fractional Calculus of Variations in Dynamics
- Fractional Statistical Mechanics
- Fractional Temporal Dynamics
- Fractional Temporal Electrodynamics
- Fractional Nonholonomic Dynamics
- Fractional Dynamics and Discrete Maps with Memory
- Fractional Quantum Dynamics
- Fractional Dynamics of Hamiltonian Quantum Systems
- Fractional Dynamics of Open Quantum Systems
- Quantum Analogs of Fractional Derivatives.