On finite-time attractivity for semilinear generalized rayleigh-stokes equation involving delays

Abstract

In this article, a functional semilinear Rayleigh-Stokes equation involving a fractional derivative with delay is investigated. The paper employs the time-fractional derivative which is Riemann-Liouville type. By using the fixed point argument and some useful estimates, the writers derive some global existence results. Also, the finite-time attractivity of all solutions are proved thanks to a Halanay- type inequality.