We investigate the spatiotemporal nonlocality underlying fractional-derivative models as a
possible explanation for regional-scale anomalous dispersion with heavy tails. Properties of …

Modeling of phenomena such as anomalous transport via fractional-order differential
equations has been established as an effective alternative to partial differential equations …

Integrated, process‐based numerical models in hydrology are rapidly evolving, spurred by
novel theories in mathematical physics, advances in computational methods, insights from …

One way to study the mechanism of gravel bed load transport is to seed the bed with marked
gravel tracer particles within a chosen patch and to follow the pattern of migration and …

To model the observed local variation of transport speed, an extension of the homogeneous
space‐fractional advection‐dispersion equation (fADE) to more general cases with space …

One of the ongoing issues with fractional diffusion models is the design of an efficient high-
order numerical discretization. This is one of the reasons why fractional diffusion models are …

Hillslopes are typically shaped by varied processes which have a wide range of event‐
based downslope transport distances, some of the order of the hillslope length itself. We …

A number of recent studies suggest that human and animal mobility patterns exhibit scale-
free, Lévy-flight dynamics. However, current reaction-diffusion epidemics models do not …

Climate change is causing increasingly widespread, frequent, and intense wildfires across
the western United States. Many geomorphic effects of wildfire are relatively well studied, yet …

This study compared five different models for evaluating solute transport in a 1250-cm long,
saturated and highly heterogeneous soil column. The five models were: the convection …