  In this work, the cosmological implications of brane world scenario are
investigated when the gravitational coupling $G$ and the cosmological term
$\Lambda$ are not constant but rather there are time variation of them. From
observational point of view, these time variations are taken in the form
$\frac{\dot{G}}{G}\sim H$ and $\Lambda \sim H^{2}$. The behavior of scale
factors and different kinematical parameters are investigated for different
possible scenarios where the bulk cosmological constant $\Lambda_{5}$ can be
zero, positive or negative.
