Abstract
Magnetohydrodynamic free convection flow of an incompressible viscous fluid past an infinite vertical oscillating plate with uniform heat flux in a porous medium is studied. Exact dimensionless solutions of momentum and energy equations, under Boussinesq approximation, are obtained using Laplace transforms. They satisfy all imposed initial and boundary conditions and reduce to known solutions from the literature as special cases. Finally, the influence of different parameters like thermal radiation parameter, Grashof number, Prandtl number, and time on velocity, temperature, and skin friction is shown by graphs.