We study contaminant flow with sources in a fractured porous medium consisting of a single fracture bounded by a porous matrix. In the fracture we assume convection, decay, surface adsorption to the interface, and loss to the porous matrix; in the porous matrix we include diffusion, decay, adsorption, and contaminant sources. The model leads to a nonhomogeneous, linear parabolic equation in a quarter-space with a differential equation for an oblique boundary condition. Ultimately, we study the problem u(t) = u(yy) - lambda u + f(x, y,! t), x,y > 0, t > 0, u(t) = -u(x) + gamma u(y)?, - lambda u on y = 0; u(0, 0, t) = u(0)), t > 0, with zero initial data. Using Laplace transforms we obtain the Green＇s function for the problem, and we determine how contaminant sources in the porous media are propagated in time.