We show that HERA data for the inclusive structure function F-2(x, Q(2)) at small Bjorken-x and Q(2) can be reasonably well described by a color-dipole model with an anti-de Sitter space/conformal field theory (AdS/CFT)-inspired dipole-proton cross section. The model contains only three free parameters fitted to data. In our AdS/CFT-based parameterization the saturation scale varies in the range of 1 divided by 3 GeV becoming independent of energy/Bjorken-x at very small x. This leads to the prediction of x independence of the F-2 and F-L structure functions at very small x. We provide predictions for F-2 and F-L in the kinematic regions of future experiments. We discuss the limitations of our approach and its applicability region, and argue that our AdS/CFT-based model of nonperturbative physics could be viewed as complementary to the perturbative description of data based on saturation/color glass condensate physics.