Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness of solutions for coagulation-fragmentation
  problems with singularity   In this paper, existence and uniqueness of solutions to a non-linear, initial
value problem is studied. In particular, we consider a special type of problem
which physically represents the time evolution of particle number density
resulted due to the coagulation and fragmentation process. The coagulation
kernel is chosen from a huge class of functions, both singular and non-singular
in nature. On the other hand, fragmentation kernel includes practically
relevant non-singular unbounded functions. Moreover, both the kernels satisfy a
linear growth rate of particles at infinity. The existence theorem includes
lesser restrictions over the kernels as compared to the previous studies.
Furthermore, strong convergence results on the sequence of functions are used
to establish the existence theory.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga