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Space‐time duality for the fractional advection‐dispersion equation
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-20545-3openalex-snapshot
Functional Fractional Calculus
inferredcites →https://doi.org/10.1007/978-94-017-1278-1_11openalex-snapshot
Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests
inferredcites →https://doi.org/10.1007/bf00538470openalex-snapshot
Limit theorems for occupation times of Markov processes
inferredcites →https://doi.org/10.1007/s10652-006-9004-5openalex-snapshot
Parameter estimation for fractional dispersion model for rivers
inferredcites →https://doi.org/10.1016/0013-7952(73)90047-1openalex-snapshot
Dynamics of fluids in Porous Media
inferredcites →https://doi.org/10.1016/j.advwatres.2009.01.008openalex-snapshot
Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications
inferredcites →https://doi.org/10.1016/j.advwatres.2012.04.005openalex-snapshot
Fractional calculus in hydrologic modeling: A numerical perspective
inferredcites →https://doi.org/10.1016/s0377-0427(00)00294-6openalex-snapshot
On Mittag-Leffler-type functions in fractional evolution processes
inferredcites →https://doi.org/10.1017/s0021900200006161openalex-snapshot
Space–Time Duality for Fractional Diffusion
inferredcites →https://doi.org/10.1017/s002190020002043xopenalex-snapshot
Limit theorems for continuous-time random walks with infinite mean waiting times
inferredcites →https://doi.org/10.1023/a:1006733002131openalex-snapshot
Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests
inferredcites →https://doi.org/10.1029/2000wr900031openalex-snapshot
Application of a fractional advection‐dispersion equation
inferredcites →https://doi.org/10.1029/2000wr900032openalex-snapshot
The fractional‐order governing equation of Lévy Motion
inferredcites →https://doi.org/10.1029/2004wr003818openalex-snapshot
A mass balance based numerical method for the fractional advection‐dispersion equation: Theory and application
inferredcites →https://doi.org/10.1029/2005rg000178openalex-snapshot
Modeling non‐Fickian transport in geological formations as a continuous time random walk
inferredcites →https://doi.org/10.1029/2006wr004912openalex-snapshot
Space‐fractional advection‐dispersion equations with variable parameters: Diverse formulas, numerical solutions, and application to the Macrodispersion Experiment site data
inferredcites →https://doi.org/10.1061/(asce)0733-9429(2004)130:5(422)openalex-snapshot
Numerical Solution of Fractional Advection-Dispersion Equation
inferredcites →https://doi.org/10.1061/(asce)0733-9429(2006)132:1(87)openalex-snapshot
Asymptotic Solutions for One-Dimensional Dispersion in Rivers
inferredcites →https://doi.org/10.1061/(asce)1084-0699(2006)11:1(80)openalex-snapshot
Generalized Fick’s Law and Fractional ADE for Pollution Transport in a River: Detailed Derivation
inferredcites →https://doi.org/10.1080/15326349708807450openalex-snapshot
Numerical calculation of stable densities and distribution functions
inferredcites →https://doi.org/10.1088/0305-4470/37/31/r01openalex-snapshot
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
inferredcites →https://doi.org/10.1090/mmono/065openalex-snapshot
One-Dimensional Stable Distributions
inferredcites →https://doi.org/10.1103/physreve.66.060102openalex-snapshot
Governing equations and solutions of anomalous random walk limits
inferredcites →https://doi.org/10.1103/physreve.67.010101openalex-snapshot
Towards deterministic equations for Lévy walks: The fractional material derivative
inferredcites →https://doi.org/10.1103/physrevlett.96.230601openalex-snapshot
Anomalous Diffusion of Inertial, Weakly Damped Particles
inferredcites →https://doi.org/10.1515/9783110258165openalex-snapshot
Stochastic Models for Fractional Calculus
inferredcites →https://doi.org/10.2307/2291104openalex-snapshot
Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A Temporally Relaxed Theory of Non-Equilibrium Solute Transport in Heterogeneous Porous Media Involving Flexible Boundary
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A Temporally Relaxed Theory Model for Non‐Equilibrium Solute Transport in Layered Media
inferred← citeshttps://doi.org/10.1002/wat2.1448openalex-snapshot
A review of applications of fractional advection–dispersion equations for anomalous solute transport in surface and subsurface water
inferred← citeshttps://doi.org/10.1007/978-3-030-59649-1_11openalex-snapshot
Space-Time Duality for Semi-Fractional Diffusions
inferred← citeshttps://doi.org/10.1007/s10959-022-01166-0openalex-snapshot
On Self-Similar Bernstein Functions and Corresponding Generalized Fractional Derivatives
inferred← citeshttps://doi.org/10.1007/s11242-025-02162-8openalex-snapshot
A Temporally Relaxed Theory of Nonequilibrium Solute Transport in Porous Media With Spatial Dispersivity Involving Flexible Boundary
inferred← citeshttps://doi.org/10.1016/j.advwatres.2019.103486openalex-snapshot
An efficient approximation of non-Fickian transport using a time-fractional transient storage model
inferred← citeshttps://doi.org/10.1016/j.cam.2017.11.012openalex-snapshot
Anomalous diffusion with ballistic scaling: A new fractional derivative
inferred← citeshttps://doi.org/10.1016/j.cma.2026.119438openalex-snapshot
A fast discovery framework of fractional transport equations through fractional-order operator linearization
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2019.124504openalex-snapshot
Comparison of negative skewed space fractional models with time nonlocal approaches for stream solute transport modeling
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2023.129432openalex-snapshot
A temporally relaxed theory of physically or chemically non-equilibrium solute transport in heterogeneous porous media
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2025.134806openalex-snapshot
Classifying anomalous tracer breakthrough curves in layered heterogeneous soils
inferred← citeshttps://doi.org/10.1016/j.physa.2018.03.044openalex-snapshot
Fractional driven-damped oscillator and its general closed form exact solution
inferred← citeshttps://doi.org/10.1088/1402-4896/ad5420openalex-snapshot
Analyzing election trends incorporating memory effect through a fractional-order mathematical modeling
inferred← citeshttps://doi.org/10.1103/physreve.99.022122openalex-snapshot
Space-time duality and high-order fractional diffusion
inferred← citeshttps://doi.org/10.1121/1.5047670openalex-snapshot
Time-domain analysis of power law attenuation in space-fractional wave equations
inferred← citeshttps://doi.org/10.1121/1.5119128openalex-snapshot
Exact and approximate analytical time-domain Green's functions for space-fractional wave equations
inferred← citeshttps://doi.org/10.1155/2018/8329406openalex-snapshot
The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores
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