  The present paper studies the effects of thermal radiation and mass diffusion
on MHD flow over a vertical plate that applies time dependent shear to the
fluid. This study is meant to provide framework for improved thermal system
where induced automated shear on chemical (fluid) will in- crease velocity of
fluid and hence enhances the smooth flow. This study will also throw light on
an important aspect of controlling temperature of thermal system in the context
of emitting thermal radiation. Exact expressions for velocity field,
temperature and mass concentration corresponding to the radiative flow of
viscous fluid have been calculated. These expressions are obtained by using
Laplace transform of corresponding fractional differential equations. The
expressions of temperature and mass concentration of fluid have been presented
in series form. However, velocity field is presented in the form of integral
solutions. All exact expressions satisfy initial and boundary conditions. Some
significant limiting cases of fluid parameters and of fractional parameters
have been discussed. Two special cases of shear stress; shear stress in the
form of Heaviside function and oscillating shear stress have also been taken
into account to compare the behavior of fluid motion graphically. An analysis
has also been prepared to compare analytical and numerical solutions for
concentration of fluid using numerical algorithm. Validity of analytical
solutions up to a certain order of accuracy has been es- tablished.
