title: STOCHASTIC SOLUTIONS FOR FRACTIONAL WAVE EQUATIONS.
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.
authors.affiliation: Department of Statistics & Probability, Michigan State University, East Lansing MI 48824 USA. URL: http://www.stt.msu.edu/users/mcubed/
authors.forename: Mark M
authors.initials: MM
authors.lastname: Meerschaert
authors.affiliation: Institut für Mathematische Stochastik, Technische Universität Dresden, Germany, URL: http://www.math.tu-dresden.de/sto/schilling/
authors.forename: René L
authors.initials: RL
authors.lastname: Schilling
authors.affiliation: Department of Statistics & Probability, Michigan State University, East Lansing MI 48824 USA. URL: http://www.stt.msu.edu/users/sikorska/
authors.forename: Alla
authors.initials: A
authors.lastname: Sikorskii