  We use fractional integrals to generalize the description of hydrodynamic
accretion in fractal media. The fractional continuous medium model allows the
generalization of the equations of balance of mass density and momentum
density. These make it possible to consider the general case of spherical
hydrodynamic accretion onto a gravitating mass embedded in a fractal medium.
The general nature of the solution is similar to the "Bondi solution", but the
accretion rate may vary substantially and the dependence on central mass may
change significantly depending on dimensionality of the fractal medium. The
theory shows consistency with the observational data and numerical simulation
results for the particular case of accretion onto pre-main-sequence stars.
