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

Cottone, G., Di Paola, M. and Butera, S. (2011) Stochastic dynamics of nonlinear systems with a fractional power-law nonlinear term: the fractional calculus approach. Probabilistic Engineering Mechanics, 26(1), pp. 101-108. (doi: 10.1016/j.probengmech.2010.06.010)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Butera, Dr Salvatore
• Authors: Cottone, G., Di Paola, M., and Butera, S.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Probabilistic Engineering Mechanics
• Publisher: Elsevier
• ISSN: 0266-8920
• ISSN (Online): 1878-4275
• Published Online: 09 July 2010