In this paper, an analysis has been carried out to investigate the hydromagnetic fluid flow of dusty fluid with thermal radiation at vertical stretching sheet. The behavior of velocity and temperature profile of hydromagnetic fluid flow with fluid particle suspension is analyzed by using Runge Kutta Fehlberg forthfifth order method (RKF45 Method). These solutions are presented and discussed for different parameters of interest such as fluid particle interaction parameter, the magnetic parameter, the radiation parameter, Grashof number, Eckert number and Prandtl number on the flow.