Abstract: In this paper, the probabilistic response of nonlinear systems driven by alpha-stable Lévy white noises is considered. The path integral solution is adopted for determining the evolution of the probability density function ...

Abstract: In this paper, a computationally efficient approach is proposed for the determination of the nonstationary response statistics of hysteretic oscillators endowed with fractional derivative elements. This problem is of ...

Abstract: In this paper, a technique is developed for determining the nonstationary response statistics of linear oscillators endowed with fractional derivative elements. Notably, fractional operators are particularly effective in ...

Abstract: The recently developed approximate Wiener path integral (WPI) technique for determining the stochastic response of nonlinear/hysteretic multidegreeoffreedom (MDOF) systems has proven to be reliable and significantly more ...

Abstract: In this paper, an approximate semi-analytical approach is developed for determining the first-passage probability of randomly excited linear and lightly nonlinear oscillators endowed with fractional derivative elements. ...