Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate controllability and optimal control of impulsive fractional
  semilinear delay differential equations with non-local conditions   In this paper we study the approximate controllability and existence of
optimal control of impulsive fractional semilinear delay differential equations
with non-local conditions. We use Sadovskii's fixed point theorem, semigroup
theory of linear operators and direct method for minimizing a functional to
establish our results. At the end we give an example to illustrate our
analytical findings.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph