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Time-domain analysis of power law attenuation in space-fractional wave equations

Time-domain analysis of power law attenuation in space-fractional wave equations

Ultrasound attenuation in soft tissue follows a power law as a function of the ultrasound frequency, and in medical ultrasound, power law attenuation is often described by fractional calculus models that contain one or more time- or space-fractional derivatives. For certain time-fractional models, exact and approximate time-domain Green's functions are …