Decay of vortex velocity and diffusion of temperature for fractional viscoelastic fluid through a porous medium

In this paper, we investigate a circular motion of generalized second grade fluid through a porous medium. The velocity and temperature fields of the flow through a porous medium of a generalized second grade fluid with fractional derivative model are described by fractional partial differential equations. Exact analytical solutions of these differential equations are obtained in terms of the Fox's H-function by using the discrete Laplace transform of the sequential fractional derivatives and Hankel transform.