Well-posedness for the fractional Fokker-Planck equations

DOI10.1063/1.4916286zbMath1308.82051OpenAlexW1968855245MaRDI QIDQ5245220

Jin-Long Wei, Rongrong Tian

Publication date: 7 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.4916286

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (9)

Smooth solution of a nonlocal Fokker-Planck equation associated with stochastic systems with Lévy noise ⋮ Gevrey type regularity of the Riesz-Feller operator perturbed by gradient in \(L^p(\mathbb{R})\) ⋮ State transitions in the Morris-Lecar model under stable Lévy noise ⋮ Decay rates of convergence for Fokker-Planck equations with confining drift ⋮ On the Existence and Uniqueness of Solutions to Time-Dependent Fractional MFG ⋮ Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions ⋮ Fokker-Planck equation driven by asymmetric Lévy motion ⋮ Fractional Fokker--Planck Equation with General Confinement Force ⋮ Gevrey semigroup generated by \(- (\Lambda^\alpha + b \cdot \nabla)\) in \(L^p(\mathbb{R}^n)\)

Cites Work

• Unnamed Item
• Transport equation and Cauchy problem for BV vector fields
• On the Itô--Wentzell formula for distribution-valued processes and related topics
• Ordinary differential equations, transport theory and Sobolev spaces
• Lévy flights in a steep potential well
• A fractional diffusion equation to describe Lévy flights
• Fractional Fokker–Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Lévy stable noises
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

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