Identifying of unknown source term for the Rayleigh-Stokes problem

In this paper, we would like to briefly introduce some applications of fractional derivatives in the fields heat and fluid-flows. However, our main focus is on study an inverse source problem for Rayleigh-Stokes problem. The severely ill-posed. We verify ill-posedness Problem 1, applying modified Lavrentiev construct a regularization from exact data. After that, established convergent rate between solution its approximation. Furthermore, have estimate Lq space.