The present study scrutinizes the significance of magnetohydrodynamics, thermal radiation, and heat transfer in the mixed convective two-dimensional flow, which is constituted of ( EG (30%) + water (70%), CuO, and MgO) hybrid nanofluid over a curved stretching sheet. Along with this Joule heating, viscous dissipation and heat generation are considered account. The governing non-linear coupled partial differential equations are converted into non-linear coupled ordinary differential equations and then the homotopy perturbation method is utilized. When compared to the numerical method (Runge–Kutta method), the homotopy perturbation method produces more precise and dependable results. For velocity, temperature, Bejan number, entropy generation, skin friction, and Nusselt number, graphical results are provided with the impact of active parameters. The velocity profile increases for higher values of curvature parameter, mixed convection parameter. The temperature profile rises when the thermal radiation parameter increases. Also temperature profile decreases when the values of thermal slip parameter and slip parameters increase. The skin friction coefficient is growing when the curvature parameter and the slip parameter both rises. When the magnetic parameter is increased the skin friction decreases. The current research can be applied in the areas such as transpiration, fiber coatings, coolants, heat exchangers, and other similar devices.