The paper reports analysis of momentum fractions carried by quarks and gluons in models of Proton structure functions at small x. First, we analyze the model proposed by Lastovicka based on self-similarity sometime back. We then make a similar analysis for a second model based on the same notion which is also free from singularity in x : 0 < x < 1. The predictions of both the models are then compared with a recent QCD based Froissart bound compatible model of proton structure function at small x, suggested by Block, Durand, Ha and McKay. The results are then compared with the corresponding study in perturbative and Lattice QCD.