Exact solutions of the Rayleigh–Stokes problem for a heated generalized second grade fluid in a porous half-space

The Rayleigh–Stokes problem for a generalized second grade fluid in a porous half-space with a heated flat plate is investigated. For the description of such a viscoelastic fluid, a fractional calculus approach in the constitutive relationship model is used. By using the Fourier sine transform and the fractional Laplace transform, exact solutions of the velocity and temperature fields are obtained, from which some classical results can be recovered.