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MARIO DI PAOLA

Stochastic dynamics of nonlinear systems with a fractional power-law nonlinear term: The fractional calculus approach

  • Authors: Cottone, G; Di Paola, M; Butera, S
  • Publication year: 2010
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Stochastic differential equations; Power-law drift; Fractional calculus; Fractional differential equations; Characteristic function; Nonlinear viscous–elastic damper
  • OA Link: http://hdl.handle.net/10447/56370

Abstract

Fractional power-law nonlinear drift arises in many applications of engineering interest, as in structures with nonlinear fluid viscous–elastic dampers. The probabilistic characterization of such structures under external Gaussian white noise excitation is still an open problem. This paper addresses the solution of such a nonlinear system providing the equation governing the evolution of the characteristic function, which involves the Riesz fractional operator. An efficient numerical procedure to handle the problem is also proposed.