Abstract <p>This paper is devoted to the study of acoustic wave propagation in multifractional gas suspensions with polydisperse inclusions when the motion of the mixture is taken into account. A system of linearized integro-differential equations of motion of a multifractional gas suspension with polydisperse inclusions is presented. Nonstationary effects of interfacial friction and heat exchange are considered. A dispersion relation describing the propagation and attenuation of acoustic waves in a gas suspension with polydisperse inclusions is derived, taking into account the uniform motion of the mixture.</p>