Fractional calculus approach to the acoustic wave propagation with space-dependent sound speed |
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Authors: | G. Casasanta R. Garra |
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Affiliation: | 1. Dipartimento di Fisica, ??Sapienza?? Universit?? di Roma, Piazzale Aldo Moro 5, 00185, Rome, Italy
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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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