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

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Abstract

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.

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  1. Dipartimento di Fisica, “Sapienza” Università di Roma, Piazzale Aldo Moro 5, 00185, Rome, Italy

    G. Casasanta & R. Garra

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  1. G. Casasanta
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  2. R. Garra
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Correspondence to R. Garra.

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Casasanta, G., Garra, R. Fractional calculus approach to the acoustic wave propagation with space-dependent sound speed. SIViP 6, 389–392 (2012). https://doi.org/10.1007/s11760-012-0314-4

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  • DOI: https://doi.org/10.1007/s11760-012-0314-4

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