The three-charged-particle Faddeev-type equations for a full potential system are presented in momentum space. The potential is composed of a short range two-body, nuclear potential and a three-body-force potential plus the long range Coulomb potential. A novel framework is proposed for this purpose which contains two innovations aimed at realizing a breakthrough for the notoriously troublesome long range behavior of charged particle systems and tedious Coulomb prescriptions in momentum space calculations. One involves introduction of a Coulomb boundary condition and the other is a new definition of the Coulomb amplitude using two-potential theory for V-C = V-R+V-phi with respect to a screened Coulomb potential V-R and the remainder V-phi = V-C - V-R. Some important equations, which are underlined in our approach, are mathematically proved. The formulation is not only rigorous but also useful for numerical calculations.