Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

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 …

This paper makes the first attempt to develop a novel localized collocation scheme based on
fundamental solutions for long-time anomalous heat conduction analysis in functionally …

The advection‐diffusion equation is one of the most widespread equations in physics. It
arises quite often in the context of sediment transport, eg, for describing time and space …

In the last decade several efforts were devoted to model sediment‐particle transport in rivers
as a stochastic process. Experimental observations are therefore needed to validate these …

This study develops an explicit two‐step Lagrangian scheme based on the renewal‐reward
process to capture transient anomalous diffusion with mixed retention and early arrivals in …

In this manuscript, a numerical method based on the conjunction of Paraskevopoulos's
algorithm and operational matrices is developed to solve numerically the multi-order linear …

In this article we propose a stochastic bed load transport formulation within the framework of
the frictional shallow-water equations in which the sediment transport rate results from the …

Recent studies have emphasized the importance of nonlocal models in characterizing
bedload transport in natural rivers, particularly in mixed-size gravel beds or steep hillslopes …

Non-Fickian or anomalous diffusion had been well documented in material transport through
heterogeneous systems at all scales, whose dynamics can be quantified by the time …