Attenuated Fractional Wave Equations With Anisotropy

作者:Meerschaert Mark M*; McGough Robert J
来源:Journal of Vibration and Acoustics-Transactions of the ASME, 2014, 136(5): 050902.
DOI:10.1115/1.4025940

摘要

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.

  • 出版日期2014-10