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

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 m...

Full description

Saved in:
Bibliographic Details
Published in:Signal, image and video processing image and video processing, 2012-09, Vol.6 (3), p.389-392
Main Authors: Casasanta, G., Garra, R.
Format: Article
Language:English
Subjects:
Computer Imaging
Computer Science
Image Processing and Computer Vision
Multimedia Information Systems
Original Paper
Pattern Recognition and Graphics
Signal,Image and Speech Processing
Vision
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1863-1703
1863-1711
DOI:10.1007/s11760-012-0314-4