Reference health
Fractional Advection-Diffusion-Asymmetry Equation
54/54 checkable references clean · checked 2026-07-23
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
8 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 54 checked references that resolve
resolves10.1016/S0370-1573(00)00070-3
The random walk's guide to anomalous diffusion: a fractional dynamics approach
resolves10.1016/0893-9659(96)00089-4
The fundamental solutions for the fractional diffusion-wave equation
resolves10.1007/BF02179257
Asymptotic distributions of continuous-time random walks: A probabilistic approach
resolves10.1016/j.physa.2005.11.024
The application of continuous-time random walks in finance and economics
resolves10.1088/0253-6102/62/4/09
Scaling Properties of Field-Induced Superdiffusion in Continuous Time Random Walks
resolves10.1103/PhysRevLett.115.110601
Anomalous Processes with General Waiting Times: Functionals and Multipoint Structure
resolves10.1140/epjb/e2016-70578-3
The continuous time random walk, still trendy: fifty-year history, state of art and outlook
resolves10.1002/2017GL074326
Stochastic dynamics of intermittent pore‐scale particle motion in three‐dimensional porous media: Experiments and theory
resolves10.1088/1742-5468/aaf630
Fractional equation description of an open anomalous heat conduction set-up
resolves10.3389/fphy.2019.00159
Anomalous Heat Transport in One Dimensional Systems: A Description Using Non-local Fractional-Type Diffusion Equation
resolves10.1103/PhysRevLett.108.093002
Observation of Anomalous Diffusion and Fractional Self-Similarity in One Dimension
resolves10.1103/PhysRevLett.108.230602
Theory of Fractional Lévy Kinetics for Cold Atoms Diffusing in Optical Lattices
resolves10.1103/PhysRevLett.82.3563
Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach
resolves10.1103/PhysRevLett.101.210601
Equivalence of the Fractional Fokker-Planck and Subordinated Langevin Equations: The Case of a Time-Dependent Force
resolves10.1137/080714130
Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
resolves10.1103/PhysRevLett.105.170602
Fractional Fokker-Planck Equations for Subdiffusion with Space- and Time-Dependent Forces
resolves10.1103/PhysRevLett.123.050602
Asymptotic Behavior of the Solution of the Space Dependent Variable Order Fractional Diffusion Equation: Ultraslow Anomalous Aggregation
resolves10.1016/S0169-7722(00)00170-4
Eulerian derivation of the fractional advection–dispersion equation
resolves10.1029/2004WR003818
A mass balance based numerical method for the fractional advection‐dispersion equation: Theory and application
resolves10.1002/2015WR018515
Backward fractional advection dispersion model for contaminant source prediction
resolves10.1103/PhysRevLett.71.3975
Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow
resolves10.1029/2001WR001030
Physical pictures of transport in heterogeneous media: Advection‐dispersion, random‐walk, and fractional derivative formulations
resolves10.1016/S0169-7722(02)00204-8
Measurement and analysis of non-Fickian dispersion in heterogeneous porous media
resolves10.1029/2005RG000178
Modeling non‐Fickian transport in geological formations as a continuous time random walk
resolves10.1103/PhysRevE.91.052130
Anomalous reactive transport in porous media: Experiments and modeling
resolves10.1002/2016WR020143
Time‐dependent velocity‐field controls on anomalous chemical transport in porous media
resolves10.1039/C8CP01863D
Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing
resolves10.1103/PhysRevResearch.1.033172
Transport in disordered systems: The single big jump approach
resolves10.1016/0167-2789(96)00082-6
Anomalous diffusion in asymmetric random walks with a quasi-geostrophic flow example
resolves10.1103/PhysRevE.98.042139
Renewal theory with fat-tailed distributed sojourn times: Typical versus rare
resolves10.1016/j.advwatres.2008.05.004
Exploring the nature of non-Fickian transport in laboratory experiments
resolves10.1016/0370-1573(90)90099-N
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
resolves10.1039/C4CP03465A
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
The 8 references without a DOI — listed, not checked
no DOI — not checkedThe Fractional Calculus
no DOI — not checkedFractional Integrals and Derivatives
no DOI — not checkedFractional Differential Equations
no DOI — not checkedDe Gruyter Studies in Mathematics
no DOI — not checkedHandbook of Fractional Calculus with Applications
no DOI — not checkedStable Distributions: Fox Functions Representation and Generalization
no DOI — not checkedAn Introduction to Probability Theory and Its Applications
no DOI — not checkedChance and Stability: Stable Distributions and Their Applications
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