Signal, Image and Video Processing

, Volume 6, Issue 3, pp 389–392 | Cite as

Fractional calculus approach to the acoustic wave propagation with space-dependent sound speed

  • G. Casasanta
  • R. GarraEmail author
Original Paper


In this note we study the space-fractional wave equation in relation to the propagation of acoustic waves with space-dependent sound speed. We take into account this variability, by using the space-fractional derivative in the classical wave equation. In order to give a clear comprehension of this mathematical formulation, we discuss the analytic solution of a simple boundary value problem (BVP) by an operational method, finding a fractional oscillating spatial profile.


Fractional differential equations Wave propagation Space-fractional wave equation Sound propagation 


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Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  1. 1.Dipartimento di Fisica“Sapienza” Università di RomaRomeItaly

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