An analysis has been done to scrutinize the existence of dual solutions
of the Casson nanofluid caused due to an exponential form of stretching
surface which is situated in porous medium and second order velocity
slip. An uniform magnetic field is considered in the transverse dirction
of the flow. A suitable similarity transformation is employed to amend
the model equations into solvable form and hence solved by adopting the
MATLAB built-in bvp4c solver scheme. Results are discussed through both
graphical mode and tabulations with respect to some novel flow
parameters. The stability analysis has been studied and found two
solutions, one is stable in nature and physically tractable. From the
study, we have seen that the flow parameters associated with nanofluid
enhance the heat transfer of the fluid. The Casson fluid parameter has
also a power to increase temperature of the system.