Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation

In recent years, much attention has been paid to the study of forward and inverse problems for Rayleigh-Stokes equation in connection with importance this applications. This plays an important role, particular, behavior certain non-Newtonian fluids. The includes a fractional derivative order $$\alpha $$ , which is used describe viscoelastic flow. paper, we solution such equations depending on parameter . it proved that sufficiently large $$t_0$$ norm $$||u(x,t_0)||_{L_2(\Omega )}$$ decreases respect Moreover problem determining solved uniquely.