Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lyapunov and Hartman-Wintner type inequalities for a nonlinear
  fractional boundary value problem with generalized Hilfer derivative   In this work, we obtain a Lyapunov-type and a Hartman-Wintner-type
inequalities for a linear and a nonlinear fractional differential equation with
generalized Hilfer operator subject to Dirichlet-type boundary conditions. We
prove existence of positive solutions to a nonlinear fractional boundary value
problem. As an application, we obtain a lower bound for the eigenvalues of
corresponding equations.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg