The behavior of the charm and bottom structure functions [Formula: see text], where i = c, and b; k = 2, and L) at small-x is considered with respect to the hard-Pomeron and saturation models. Having checked that this behavior predicate the heavy flavor reduced cross-sections concerning the unshadowed and shadowed corrections. We will show that the effective exponents for the unshadowed and saturation corrections are independent of x and Q2, and also the effective coefficients are dependent to ln Q2 compared to Donnachie–Landshoff (DL) and color dipole models (CDMs).