This review paper presents and critically discusses the developments in the area of the
dynamic response of road pavements to moving vehicle loads during the last 72 years (1951 …

In the present work, the fractional‐order Sawada–Kotera–Ito problem is solved by
considering nonlocal Caputo and nonsingular Atangana–Baleanu (ABC) derivatives. The …

We consider the stability analysis and controller design for a novel active vibration
suppression technique, what we call the fractional-order delayed resonator (FODR), to …

This paper addresses the evaluation of the time-domain response of nonlinear beams
endowed with a fractional derivative element crossed by moving loads. Nonlinearities …

In this paper, the nonlinear dynamics of fractional viscoelastic polyethylene terephthalate
(PET) membranes with linearly varying density are elaborated. The viscoelasticities of the …

The dynamic response of a railway track has been investigated by analytical or numerical
models. When rail supports (sleepers) or foundation contain defects, the damage reduces …

The forced vibration of rectangular thin plate with a pair of edges simply supported and
another pair of edges clamped mounted on the fractional standard solid foundation under …

For dynamic analysis of long-span cable-stayed bridges (LCB) with high flexibility and long
force transmission paths, wave analysis method offers unique advantages over modal …

The present work introduces a novel approach, the Adomian Decomposition Formable
Transform Method (ADFTM), and its application to solve the fractional order Sharma-Tasso …

This paper conducts a tutorial review of the analytic theory of seven classes of fractional
vibrations based on elementary functions. We discuss the classification of seven classes of …