Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad
distribution of time-scales present in their complex internal structure. A promising tool to …

This book introduces a series of problems and methods insufficiently discussed in the field of
Fractional Calculus–a major, emerging tool relevant to all areas of scientific inquiry. The …

Liquid crystalline elastomers (LCE) undergo reversible shape changes in response to
stimuli, which enables a wide range of smart applications, in soft robotics, adhesive systems …

Fractional-order derivative (FD) models are widely used to describe the dynamic behavior of
rubber-like materials. However, experiments have shown that FD models cannot reproduce …

Unsteady flows of an upper-convected Maxwell fluid, in two-dimensional boundary layer
approximation are studied. Governing equations of the boundary layer flow are reduced to a …

In this paper, a spatial fractional-order thermal transport equation with the Caputo derivative
is proposed to describe convective heat transfer of nanofluids within disordered porous …

A soft viscoelastic drop has dynamics governed by the balance between surface tension,
viscosity, and elasticity, with the material rheology often being frequency dependent, which …

We study the mechanical response under time dependent sources of a simple class of
holographic models that exhibit viscoelastic features. The ratio of viscosity over elastic …

Abstract The fractional derivative Kelvin–Voigt model of viscoelasticity involving the time-
dependent Poisson's operator has been studied not only for the case of a time-independent …

Dissipative elastic metamaterials have attracted increased attention in recent times. This
paper presents the development of a dissipative elastic metamaterial with multiple Maxwell …