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• W2164709559 abstract "The power law wave equation uses two different fractional derivative terms to model wave propagation with power law attenuation. This equation averages complex nonlinear dynamics into a convenient, tractable form with an explicit analytical solution. This paper develops a random walk model to explain the appearance and meaning of the fractional derivative terms in that equation, and discusses an application to medical ultrasound. In the process, a new strictly causal solution to this fractional wave equation is developed." @default.
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• W2164709559 date "2012-07-19" @default.
• W2164709559 modified "2023-10-16" @default.
• W2164709559 title "Stochastic solution to a time-fractional attenuated wave equation" @default.
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• W2164709559 doi "https://doi.org/10.1007/s11071-012-0532-x" @default.
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