Fractional advection diffusion asymmetry equation, derivation, solution and application
DOI10.1088/1751-8121/ad1844arXiv2309.08391OpenAlexW4390095636MaRDI QIDQ6184820
Publication date: 29 January 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.08391
continuous time random walkanomalous diffusionfractional kinetic equationsfractional advection diffusion asymmetry equation
Processes with independent increments; Lévy processes (60G51) Other physical applications of random processes (60K40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional partial differential equations (35R11) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)
Cites Work
- Unnamed Item
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- Continuous-time random walk and parametric subordination in fractional diffusion
- First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method
- Asymptotic distributions of continuous-time random walks: A probabilistic approach
- Anomalous diffusion in a circular comb with external velocity field
- New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies
- Cauchy problem for fractional advection-diffusion-asymmetry equations
- A Guide to First-Passage Processes
- Lévy processes on a generalized fractal comb
- Random Walks on Lattices. II
- Diffusion with optimal resetting
- Rare events and scaling properties in field-induced anomalous dynamics
- Random walks on networks with preferential cumulative damage: generation of bias and aging
- First passage and arrival time densities for Lévy flights and the failure of the method of images
- Space-time fractional diffusion in cell movement models with delay
- Non-uniqueness of the first passage time density of Lévy random processes
- Fractional Kinetics in Solids
- Fractional kinetic equations: solutions and applications
- Generalized diffusion and random search processes
- Correlated continuous-time random walk with stochastic resetting
- Anomalous diffusion originated by two Markovian hopping-trap mechanisms
- An exactly solvable predator prey model with resetting
- An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation
- Modeling Anomalous Diffusion
- Subordinated diffusion and continuous time random walk asymptotics
- Fractional Langevin equation with α-stable noise. A link to fractional ARIMA time series
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Fractional Dynamics in Comb-like Structures
- A UNIFIED THREE-DIMENSIONAL EXTENDED FRACTIONAL ANALYTICAL SOLUTION FOR AIR POLLUTANTS DISPERSION
- Stochastic resetting and applications
- First passage leapovers of Lévy flights and the proper formulation of absorbing boundary conditions
- First-passage properties of asymmetric Lévy flights
- Stochastic models for fractional calculus
- Statistics of the occupation time of renewal processes
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- The cost of stochastic resetting
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