  The Generalized Uncertainty Principle (or GUP) affects the dynamics in Plank
scale. So the known equations of physics are expected to get modified at that
very high energy regime. Very recently authors in (Ali et al. 2009) proposed a
new Generalized Uncertainty Principle (or GUP) with a linear term in Plank
length. In this article, the proposed GUP is expressed in a more general form
and the effect is studied for the modification of the Friedmann equations of
the FRW universe. In the midway the known entropy-area relation get some new
correction terms, the leading order term being proportional to square root of
area.
