to obtain analytic approximations to the strongly nonlinear problem for the mass transfer on the two-dimensional stagnation point flow of an upper-convected Maxwell fluid over a stretching surface. A convergence theorem for the application is presented. Effects on the surface mass transfer, the velocity, and the concentration profiles are performed and discussed. The results show that the velocity increases with the increasing of the stretching ratio and decreases for large values of the magnetic parameter; the magnetic parameter and Deborah number have the oppositeeffectonthe velocityandconcentration fields.Also,itisremarked thatthe concentration decreaseswiththe increasing of the Schmidt parameter, and it has the opposite effect on the destructive and generative chemical reactions. HE boundary-layer flows of the non-Newtonian fluids have recently faced considerable interest. For technological applications the non-Newtonian fluids are more appropriate than the Newtonian fluids and they occur in various applications such as oil and gas well drilling, optical fibers, plastic polymers, and foodstuffs. The Navier–Stokes theory is inadequate for the non-Newtonian fluids and the resulting equations of these fluids are nonlinear, higher-order, and much more complicated than the Navier–Stokes equations. The flow characteristics of the non-Newtonian fluids arequitedifferentfromNewtonian fluids,andmostofthese fluidsdo not predict the effects of stress relaxation. The upper-convected Maxwell (UCM) fluid is a model that can describe the relaxation effects.