A simple model of homogeneous–heterogeneous process for Maxwell fluid flow in stagnation region past a stretched surface is constructed. It is assumed that the homogeneous process in the ambient fluid is governing by first-order kinetics and the heterogeneous process on the wall surface is given by isothermal cubic autocatalator kinetics. Flow by stretched surface with homogeneous–heterogeneous processes studied. Present problem is reduced to ordinary differential equations through appropriate transformation. Resulting problems have been solved for convergent solutions. Intervals of convergence for the obtained series solutions are explicitly determined. Behavior of important variables on the physical quantities is analyzed. Velocity is found decreasing function of Deborah number.