Some inverse problems for wave equations with fractional derivative attenuation

Abstract The damped wave equation with the attenuation proportional to velocity is ubiquitous in science and engineering a common situation when depends on frequency. usual way incorporate this effect introduce fractional order derivatives either as replacement for u t or modifier through spatial component space derivatives. Models these are very well developed effort paper towards analysis of inverse problem recovering critical coefficients initial states although we also develop constructive methods analyse their degree ill-conditioning.