  We consider an extended Chaplygin gas equation of state which is driven from
D-brane action and construct a cosmological model based on this equation of
state. In this regard, we compute the scale factor of the model under a certain
approximation. The conservation equation of this case is a non-linear
differential equation which should solve using the special conditions. We also
analyze the stability of the model by using sound speed as well as adiabatic
index and discuss certain special cases of the model. We find special equation
of state in this model which yields to dynamical and thermodynamical stability.
Furthermore, we study the cosmological consequences of this model under certain
conditions.
