title: Attenuated Fractional Wave Equations With Anisotropy.
abstract: This paper develops new fractional calculus models for wave propagation. These models permit a different attenuation index in each coordinate to fully capture the anisotropic nature of wave propagation in complex media. Analytical expressions that describe power law attenuation and anomalous dispersion in each direction are derived for these fractional calculus models.
authors.affiliation: Department of Statistics and Probability, Michigan State University , East Lansing, MI 48824 e-mail:  mcubed@stt.msu.edu.
authors.forename: Mark M
authors.initials: MM
authors.lastname: Meerschaert
authors.affiliation: Department of Electrical and Computer Engineering, Michigan State University , East Lansing, MI 48824 e-mail:  mcgough@egr.msu.edu.
authors.forename: Robert J
authors.initials: RJ
authors.lastname: McGough