Generalized diffusion equation with fractional derivatives within Renyi statistics

DOI10.1063/1.4962159zbMath1351.82058arXiv1606.00260OpenAlexW3097997847MaRDI QIDQ2825562

M. V. Tokarchuk, O. V. Viznovych, B. M. Markovych, P. P. Kostrobij

Publication date: 13 October 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00260

zbMATH Keywords

fractional derivativesdiffusion equationLiouville equationRenyi parameter

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (4)

Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems ⋮ Generalized transport equation with nonlocality of space-time. Zubarev's NSO method ⋮ Generalized diffusion equation with nonlocality of space-time: Analytical and numerical analysis ⋮ Nonlinear diffusion equation with reaction terms: analytical and numerical results

Cites Work

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• Quantum dissipation from power-law memory
• Fractional Heisenberg equation
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Fractional kinetic equation for Hamiltonian chaos
• Fractional generalization of the quantum Markovian master equation
• Fractional dynamics, irreversibility and ergodicity breaking
• Modern methods of the statistical theory of nonequilibrium processes
• Fractals and fractional calculus in continuum mechanics
• Chaos, fractional kinetics, and anomalous transport
• Fractional kinetics: from pseudochaotic dynamics to Maxwell's demon
• Front propagation in reaction-diffusion systems with anomalous diffusion
• Fractional hydrodynamic equations for fractal media
• Probability interpretation of the integral of fractional order
• Fractional differential forms
• Intermediate Physics for Medicine and Biology
• Subdiffusive random walk in a membrane system: the generalized method of images approach
• LIOUVILLE AND BOGOLIUBOV EQUATIONS WITH FRACTIONAL DERIVATIVES
• Fractional statistical mechanics
• A new dissipation model based on memory mechanism
• Hyperbolic subdiffusive impedance
• THE FRACTIONAL CHAPMAN–KOLMOGOROV EQUATION
• Fractional kinetic equations: solutions and applications
• TRANSPORT EQUATIONS FROM LIOUVILLE EQUATIONS FOR FRACTIONAL SYSTEMS
• STATISTICAL APPROACH TO NON-FICKIAN DIFFUSION
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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