Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation

Nonstationary stochastic response determination of nonlinear oscillators endowed with fractional derivatives

(2022) Pol D. Spanos et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Response spectral density determination for nonlinear systems endowed with fractional derivatives and subject to colored noise

(2020) Fan Kong et al.   PROBABILISTIC ENGINEERING MECHANICS

Harmonic wavelets based response evolutionary power spectrum determination of linear and non-linear oscillators with fractional derivative elements

(2016) Ioannis A. Kougioumtzoglou et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements

(2016) Pol D. Spanos et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers

(2016) Jun Xu et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

A nonlinear and fractional derivative viscoelastic model for rail pads in the dynamic analysis of coupled vehicle–slab track systems

(2015) Shengyang Zhu et al.   JOURNAL OF SOUND AND VIBRATION

Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral

(2014) Alberto Di Matteo et al.   PROBABILISTIC ENGINEERING MECHANICS

Fractional differential equations and related exact mechanical models

(2013) Mario Di Paola et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical solution of distributed order fractional differential equations

(2013) John T. Katsikadelis   JOURNAL OF COMPUTATIONAL PHYSICS

On the stochastic response of a fractionally-damped Duffing oscillator

(2012) Giuseppe Failla et al.   Communications in Nonlinear Science and Numerical Simulation

The Grünwald–Letnikov method for fractional differential equations

(2011) Rudolf Scherer et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Algorithms for seismic analysis of MDOF systems with fractional derivatives

(2011) M.P. Singh et al.   ENGINEERING STRUCTURES

Visco-elastic behavior through fractional calculus: An easier method for best fitting experimental results

(2011) M. Di Paola et al.   MECHANICS OF MATERIALS

Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination

(2011) P.D. Spanos et al.   PROBABILISTIC ENGINEERING MECHANICS

Stationary and non-stationary stochastic response of linear fractional viscoelastic systems

(2011) Mario Di Paola et al.   PROBABILISTIC ENGINEERING MECHANICS

Dynamic analysis of frames with viscoelastic dampers modelled by rheological models with fractionalderivatives

(2010) Roman Lewandowski et al.   JOURNAL OF SOUND AND VIBRATION

Response of a non-linear system with restoring forces governed by fractional derivatives—Time domain simulation and statistical linearization solution

(2010) Pol D. Spanos et al.   SOIL DYNAMICS AND EARTHQUAKE ENGINEERING

Numerical solution of multi-term fractional differential equations

(2009) J.T. Katsikadelis   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik