| Literature DB >> 26146456 |
Mark M Meerschaert1, René L Schilling2, Alla Sikorskii3.
Abstract
A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordinator whose index is one half the order of the fractional time derivative.Entities:
Year: 2015 PMID: 26146456 PMCID: PMC4489163 DOI: 10.1007/s11071-014-1299-z
Source DB: PubMed Journal: Nonlinear Dyn ISSN: 0924-090X Impact factor: 5.022