Fractional calculus is now a well-established tool in engineering science, with very
promising applications in materials modelling. Indeed, several studies have shown that …

The model of the movement of subsurface water via the geological formation called aquifer
was extended using a newly proposed derivative with fractional order. An alternative …

In this paper the authors introduce a nonlinear model of fractional-order hereditariness used
to capture experimental data obtained on human tendons of the knee. Creep and relaxation …

SUMMARY A growing body of applied mathematics literature in recent years has focused on
the application of fractional calculus to problems of anomalous transport. In these analyses …

This book provides a unified treatment of continuum physics. A systematic approach to the
balance equations is elaborated for wide-ranging classes of materials (classical continua …

This paper deals with a nonlocal generalization of the heat equation that can be based on
lattice arguments. Such nonlocal theories may be useful to capture the scale effects of …

In this study, the non-Darcian flow and solute transport in porous media are modeled with a
revised Caputo derivative called the Caputo–Fabrizio fractional derivative. The fractional …

Fractional Darcian model and fractional Swartzendruber model are proposed for non-
Darcian flows with high and low velocity in the paper, respectively. The analytical solutions …

Various formulas describing non-Darcy flow have been applied to quantify fluid flow in
natural geological media, while there is no universal law or formula that can reliably …

This work presents a fractional relaxation equation that, in the full respect of the time-
dependent behavior of flow transport and under appropriate simplifying assumptions, leads …