Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotonicity Results for Delta and Nabla Caputo and Riemann Fractional
  Differences via dual identities   Recently, some authors have proved monotonicity results for delta and nabla
fractional differences separately. In this article, we use dual identities
relating delta and nabla fractional difference operators to prove shortly the
monotonicity properties for the (left Riemann) nabla fractional differences
using the corresponding delta type properties. Also, we proved some
monotonicity properties for the Caputo fractional differences. Finally, we use
the $Q-$operator dual identities to prove monotonicity results for the right
fractional difference operators.

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin