Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and stability analysis of solution for fractional delay
  differential equations   In this article, we give some results for fractional-order delay differential
equations. In the first result, we prove the existence and uniqueness of
solution by using Bielecki norm effectively. In the second result, we consider
a constant delay form of this problem. Then we apply Burton's method to this
special form to prove that there is only one solution. Finally, we prove a
result regarding the Hyers-Ulam stability of this problem. Moreover, in these
results, we omit the conditions for contraction constants seen in many papers.

15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int