*Department of Mathematics, Sree Vidyaniketan Engineering College Tirupati A.P.India 

**Department of Mathematics, G pullareddy Engg College Auto Kurnool A.P. India

***Professor, Department of Mathematics S.V University Tirupathi A.P. India

Email:-agvijaykumar1729@gmail.com  Email:- nandagopal15135@gmail.com Email:- svijayakumarvarma@yahoo.co.in

An analytical study is performed is to investigate thermal diffusion and radiation effects on unsteady MHD flow past an inclined plate with variable temperature and mass diffusion in the presence of heat source or sink under the influence of applied transverse magnetic field. The fluid considered here is a gray, absorbing/ emitting radiation but a non-scattering medium. At time t>0, the plate is exponentially accelerated with a velocityu  u expat 0 in its own plane. And at
the same time, the plate temperature and concentration levels near the plate raised linearly with time t. The dimensionless governing equations involved in the present analysis are solved using the Laplace transform technique. The velocity, temperature, concentration, the rate or heat transfer and the rate of mass transfer are studied through graphs and tables in terms of different physical parameters like magnetic field parameter (M), radiation parameter (R), heat source parameter (H),
Schmidt parameter (Sc), inclination parameter ( ), soret number (So),
Prandtl number (Pr), thermal Grashof number (Gr), mass Grashof number
(Gm) and time (t).