Fifty years of hyporheic zone research have shown the important role played by the
hyporheic zone as an interface between groundwater and surface waters. However, it is only …

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 …

Fractional calculus is a rapidly growing field of research, at the interface between probability,
differential equations, and mathematical physics. It is used to model anomalous diffusion, in …

The study presents a meshless computational approach for simulating the three-
dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo …

Transport processes and pathways through many hydrodynamic systems vary over time,
often driven by variations in total water storage. This paper develops a very general …

The age, or residence time, of water is a fundamental descriptor of catchment hydrology,
revealing information about the storage, flow pathways, and source of water in a single …

In this paper, the multi-term time-fractional wave-diffusion equations are considered. The
multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong …

We consider the initial/boundary value problem for a diffusion equation involving multiple
time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space …

Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

Fractional calculus has been used to model various hydrologic processes for 15 years. Yet,
there are still major gaps between real-world hydrologic dynamics and fractional-order …