频率幂律有耗介质的修正Szabo波动方程模型
Modified Szabo's wave equation models for lossy media obeying frequency power law
摘要：
Szabo的声衰减模型（Szabo 1994a）在解释因果关系时，很好地符合非整数和奇数指数系数的经验频率幂律，但在实现初始条件时，却遇到了超奇异、不当积分和模糊等棘手问题。本文的目的是通过Caputo分数阶导数的概念来缓解或消除Szabo模型的这些缺点。还首次引入了正时间分数阶导数，以包含衰减的正性。
英文摘要：
Szabo's models of acoustic attenuation (Szabo 1994a) comply well with the empirical frequency power law involving non-integer and odd integer exponent coefficients while guaranteering causality, but nevertheless encounter the troublesome issues of hyper-singular improper integral and obscurity in implementing initial conditions. The purpose of this paper is to ease or remove these drawbacks of the Szabo's models via the Caputo fractional derivative concept. The positive time fractional derivative is also first introduced to include the positivity of the attenuation possesses.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
