[en] In view of applications to electron-positron and fullerene pair plasmas, a thorough discussion is given of the two-component plasmas. Space-time responses of multi-component linearized Vlasov plasmas on the basis of multiple integral equations are invoked. Properly choosing an equilibrium distribution for pair plasma, we can reduce the resolvent equation to: (i) an undamped dispersive wave equation, (ii) wave-diffusive transfer equation,(iii) and diffusive transport equations of oscillations. In the last two cases we have to do with anomalous diffusion employing fractional derivatives in time and space. Fractional diffusion equations account for typical 'anomalous' features, which are observed in many systems, e.g. in the case of dispersive transport in amorphous semiconductors, liquid crystals, polymers, proteins and biosystems