  Lane-Emden equation could be used to model stellar interiors, star clusters
and many configurations in astrophysics. Unfortunately, there is an exact
solution only for the polytropic index and . In the present paper, a series
solution for the fractional Lane-Emden equation is presented. The solution is
performed in the frame of modified Rienmann Liouville derivatives. The obtained
results recover the well-known series solutions when . Fractional model of n=3
has been calculated and mass-radius relation, density ratio, pressure ratio and
temperature ratio have been investigated. We found that the fractional star has
a smaller volume and mass than that of the integer star.
