The purpose of this paper is to present a numerical analysis of an unsteady three dimensional MHD flow of dusty fluid past an infinite inclined porous plate. The Thermal diffusion (Soret), Diffusion thermo (Dufour) and radiation effects on natural convection heat and mass transfer of viscoelastic fluid over a fixed inclined porous plate are presented. The governing non-linear partial differential equations are transformed into a system of partial differential equations using similarity transformations. After transformation the resulting equations are then solved numerically by the use of Crank-Nicolson implicit finite difference method. Profiles of dimensionless velocity, temperature and concentration are shown graphically for various values physical parameter like Prandtl number , Schmidt number , magnetic parameter , Hall parameter , Soret number, Dufour number, Viscoelastic parameter radiation parameter, time , permeability parameter , dusty fluid parameter , dust particle parameter , thermal Grashof number , solutal Grashof number , inclination angle . Skin friction coefficient, Nusselt number and Sherwood number are discussed with help of tables.

Free convection, MHD flow, Dusty fluid, Viscoelastic fluid, Radiation effect, Heat and Mass transfer, Soret-Dufour effects, Crank-Nicolson finite difference method

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