▎ 摘　　要

A possible method for describing graphene in an anomalous-dispersion region is proposed. Taking electron-electron interaction in graphene into account leads to distortion of the linear character of the dispersion law. The distorted dispersion law can be approximated by the fractional-power law, which leads to Riesz fractional derivatives in the equation for Green's functions. The presence of impurity atoms in graphene leads to the same distortion.