In this article, we will discuss the applications of the Spectral element method (SEM) and
Finite element Method (FEM) for fractional calculusThe so-called fractional Spectral element …

Size-dependent dynamic responses of small-size frames are modelled by stress-driven
nonlocal elasticity and assessed by a consistent finite-element methodology. Starting from …

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

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 …

Non-local viscoelasticity is a subject of great interest in the context of non-local theories. In a
recent study, the authors have proposed a non-local fractional beam model where non-local …

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 …

The research of a formulation to model non-local interactions in the mechanical behavior of
matter is currently an open problem. In this context, a strong non-local formulation based on …

Abstract Nonlocal hereditariness in Bernoulli–Euler beam is investigated in this paper. An
approach to solve that problem is proposed and some analytical solutions are provided. To …

In small arterial vessels, fluid mechanics involving linear viscous fluid does not reproduce
experimental results that correspond to non-parabolic profiles of velocity across the vessel …

This volume explains the dramatic effect of cross-correlations in forming the structural
response of aircraft in turbulent excitation, ships in rough seas, cars on irregular roads, and …