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The main purpose of this investigation is to examine numerically in the presence of thermal radiation, radial magnetic field, Navier slip, Newtonian heating and jump conditions on the steady two dimensional mixed convective boundary layer flow over an external inclined surface. It is assumed that, for the studied fluid as a non-Newtonian viscoelastic behavior and follows the Jeffrey's fluid model. The mathematical configuration of the presented flow phenomenon yields the non-linear partial differential equations. Using non-similarity scaling transformation, the governing partial differential equations (Momentum and Energy equations) are transformed into non-linear ordinary differential equations (ODE's). Then, resulting ODE's are solved by finite difference scheme known as KELLER-BOX method. The quantitative and qualitative manners of concerned physical quantities (velocity, temperature, skin friction coefficient and Nusselt number coefficient) are examined under prescribed physical constrained through figures and tables.