Abstract
The behavior of electrically conducting dusty nanofluid through a stretching surface with Hall effect has been investigated through an innovative approach. Impacts of thermal radiation and heat generation/absorption are further considered for current analysis. The nanoparticles are transporter fluid and dust particles are adjourned in it. Radiative term has been involved in energy equation The fluid flow problem has been governed by Partial differential equations and transformed into ordinary ones by means of proper similarity variables. The obtained nonlinear ordinary differential equations system is then tackled homotopy analysis technique. The properties of developing factors are deliberated through diagrams and tables, and talked about in detail. The volume fraction of the dust particles, magnetic field, and mass concentration of the dust particle reduced the axial velocity while the increased Hall parameter increased the axial velocity. The temperature is increased with increased volume fraction of the dust particles.