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 …

The Galerkin method is widely applied for finding approximate solutions to vibration
problems of beam and plate structures and for estimating their dynamic behavior. Most …

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 presents a novel method for obtaining analytical solutions for the nonstationary
response of multidegree-of-freedom (MDOF) systems endowed with half fractional derivative …

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

Fractional derivative models are widely used to easily characterise more complex damping
behaviour than the viscous one, although the underlying properties are not trivial. Several …

The aim of this paper is to elucidate some relevant aspects concerning the numerical
solution of stochastic differential equations in structural and mechanical applications …

While studying fractional oscillators to the excitation as an evolutionary stochastic process,
this paper develops a novel pole-residue method to compute closed-form solutions for the …

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 …