  In this article, the existence of mass-conserving solutions is investigated
to the continuous coagulation and collisional breakage equation with singular
coagulation kernels. Here, the probability distribution function attains
singularity near the origin. The existence result is constructed by using both
conservative and non-conservative truncations to the continuous coagulation and
collisional breakage equation. The proof of the existence result relies on a
classical weak L1 compactness method.
