The study of nanofluid has become increasingly last few years. This is mainly due to its many applications in engineering and industry. It plays an imperative role in increasing the heat transport rate than that of base fluid, base fluids say ethylene glycol, ethanol, kerosene oil and water. In this steady, as well as unsteady boundary layer flow of a non-Newtonian nanofluid past a stretched sheet have been investigated. The constitutive equation of an Eyring Powell fluid usually generates higher order derivative term in the momentum equation then equation of Newtonian fluid. The boundary layer governing equations of the firstly transform into non-similar boundary layer equations which are then tackled through numerically using shooting method. Numerically outcomes are presented through graphs and tables for velocity, temperature, and concentration of nanoparticles profiles as well as heat and mass transfer characteristics, namely local skin friction, Nusselt number, local Sherwood number for physical parameters involving in the problems. In this thesis, it is investigated that velocity profile shows a rising behavior due to the stretched parameter.