This paper reviews the recent research in the application of fractional calculus in the models
of linear viscoelasticity utilized in dynamic problems of mechanics of solids. The brief …

The three-dimensional nonlinear dynamic model of a long marine riser with Kelvin-Voigt
viscoelasticity properties under vortex-induced vibration is proposed and investigated. The …

The control of nonlinear chaotic systems with uncertainties is a challenging problem that has
attracted the attention of researchers in recent years. In this paper, we propose a robust …

In this paper, an effective numerical algorithm is proposed for the first time to solve the
fractional visco-elastic rotating beam in the time domain. On the basis of fractional derivative …

Данная работа посвящена анализу научных исследований, выполненных за последние
10 лет и касающихся приложений дробного исчисления (исчисления дробного порядка) …

In the present article, the dynamics of a nonlinear beam with viscoelastic constitutions under
stochastic excitation are studied. The viscoelastic constitution is adopted to model the …

In this paper, an effective numerical algorithm based on shifted Chebyshev polynomials is
proposed to solve the fractional partial differential equations applied to polymeric visco …

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 …

Purpose Recently, a new formulation has been introduced for non-local mechanics in terms
of fractional calculus. Fractional calculus is a branch of mathematical analysis that studies …

In this paper, the forced vibrations of the fractional viscoelastic beam with the Kelvin-Voigt
fractional order constitutive relationship is studied. The equation of motion is derived from …