Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive Green's functions for some fractional-order boundary value
  problems   We use the newly introduced conformable fractional derivative, which is
different from the Caputo and Riemann-Liouville fractional derivatives, to
reformulate several common boundary value problems, including those with
conjugate, right-focal, and Lidstone conditions. With the fractional
differential equation and fractional boundary conditions established, we find
the corresponding Green's functions and prove their positivity under
appropriate assumptions.

33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph