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

Stochastic flexural vibrations of small-scale Bernoulli–Euler beams with external damping
are investigated by stress-driven nonlocal mechanics. Damping effects are simulated …

This paper addresses nonlinear viscoelastic behaviour of fractional systems with variable
time-dependent fractional order. In this case, the main challenge is that the Boltzmann linear …

The aim of this paper is to present the implementation of 3D fractional viscoelastic
constitutive theory presented in Alotta et al., 2016 [1]. Fractional viscoelastic models exactly …

This multi-volume handbook is the most up-to-date and comprehensive reference work in
the field of fractional calculus and its numerous applications. This fifth volume collects …

This paper proposed a replacement of the Kelvin–Voigt model with fractional basic
elements, and the model constructed with this method was used to describe the viscoelastic …

The behavior of human blood flowing in arteries is still an open topic for its multi-phase
nature and heterogeneity. In large arterial vessels the well-known Hagen–Poisueille law …

In order to effectively manage the nonlinear dynamic response of giant magnetostrictive
actuators (GMA), this study introduces a fractional-order time-delay feedback control …

This work investigates the application of space–time fractional-order operators to the
simulation of linear elastic waves propagating in 1D periodic structures resting on a …

In this paper, a technique is developed for determining the nonstationary response statistics
of linear oscillators endowed with fractional derivative elements. Notably, fractional …