A numerical handling is executed on a dusty non-Newtonian fluid with a suspension of nanoparticles along a moving wedge. Via the impacts of Brownian motion and thermophoresis, heat and mass transfer properties are recognized. Nonlinear ODE are generated from the presence of appropriate
transformations applied to the governing fundamental PDE. The numerical treatment of these mutated equations is performed utilizing the Runge-Kutta method of fourth-order. From this investigation, significant results acquired that the local Nuslet number decline with an increase of variable
thermal conductivity parameter. The variable viscosity parameter tends to improve the velocity profiles for both the fluid phase and the dust phase. Addendum to this a shrinkin occurs to the temperature profiles induced from increasing mass concentration of the dust particles while supports
with nonlinear thermal radiation parameter. Variable transport properties are assumed to depend on the concentration and denoted as variable viscosity, variable thermal conductivity, variable mass diffusivit and variable microorganisms diffusivity parameters. Consequence of the quantitative
comparison between the current and previous numerical computations points out a superb agreement.