Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the solution of two-sided fractional ordinary differential equations
  of Caputo type   This paper provides well-posedness results and stochastic representations for
the solutions to equations involving both the right- and the left-sided
generalized operators of Caputo type. As a special case, these results show the
interplay between two-sided fractional differential equations and two-sided
exit problems for certain L\'evy processes.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys