Abstract
The purpose of this work is to investigate the effects of Hall current on five types of unsteady flows through a porous medium. These are, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows induced by plate motions, and flow generated by an oscillating rigid plate. A generalized second-grade model through a porous medium with the fractional calculus is considered. Exact analytical solutions of unsteady flows have been constructed by using discrete Laplace transform of fractional derivatives.