Generalized diffusion equation with fractional derivatives within Renyi statistics

Abstract

By using the Zubarev nonequilibrium statistical operator method, and the Liouville equation with fractional derivatives, a generalized diffusion equation with fractional derivatives is obtained within the Renyi statistics. Averaging in generalized diffusion coefficient is performed with a power distribution with the Renyi parameter $q$.

12 pages

References in corpus (10)

• Fractional Hydrodynamic Equations for Fractal Media
• Fractional Liouville and BBGKI Equations
• Fractional Heisenberg Equation
• Transport Equations from Liouville Equations for Fractional Systems
• Hyperbolic subdiffusive impedance
• Liouville and Bogoliubov Equations with Fractional Derivatives
• Nonequilibrium statistical operator method in the Renyi statistics
• Power-law Spatial Dispersion from Fractional Liouville Equation
• Front propagation in reaction-diffusion systems with anomalous diffusion
• The Fractional Chapman-Kolmogorov Equation

Cited by in corpus (3)

• Anomalous diffusion and Noether's second theorem
• Generalized diffusion equation with nonlocality of space-time. Memory function modelling
• Generalized diffusion equation with nonlocality of space-time: analytical and numerical analysis