Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …

We analyze measurements, conceptual pictures, and mathematical models of flow and
transport phenomena in fractured rock systems. Fractures and fracture networks are key …

This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …

Non‐Fickian (or anomalous) transport of contaminants has been observed at field and
laboratory scales in a wide variety of porous and fractured geological formations. Over many …

We present a general framework for the rigorous numerical analysis of time-fractional
nonlinear parabolic partial differential equations, with a fractional derivative of order α∈(0,1) …

Significant progress in hydrology, especially in subsurface flow and solute transport, has
been made over the last 35 years because of sustained interest in underground nuclear …

A complete treatment of the theory and practice of groundwater engineering, The Handbook
of Groundwater Engineering, Second Edition provides a current and detailed review of how …

We study the time behavior of solute transport in a heterogeneous medium. We consider a
spatially biased continuous time random walk (CTRW) governed by ψ (s, t), the joint …

Contaminant breakthrough behavior in a variety of heterogeneous porous media was
measured in laboratory experiments, and evaluated in terms of both the classical advection …

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