With the aid of Matlab software, the effects of Brownian motion and thermophoresis over a stretching sheet through a porous media, stable, incompressible, laminar flows of Cassonnanoliquid have been investigated. For both solids and liquids, separate thermal conservative equations are generated with an effect of local thermal non-equilibrium conditions, and the momentum equations are also formulated. These higher-order nonlinear derivatives are derived from an ODE system. With the aid of BVP5c approach, the impacted parameters are graphically analysed in depth. Also, the behaviour of the momentum equations' boundary layer is explored.