Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behaviour of solutions to non-commensurate fractional-order
  planar systems   This paper is devoted to studying non-commensurate fractional order planar
systems. Our contributions are to derive sufficient conditions for the global
attractivity of non-trivial solutions to fractional-order inhomogeneous linear
planar systems and for the Mittag-Leffler stability of an equilibrium point to
fractional order nonlinear planar systems. To achieve these goals, our approach
is as follows. Firstly, based on Cauchy's argument principle in complex
analysis, we obtain various explicit sufficient conditions for the asymptotic
stability of linear systems whose coefficient matrices are constant. Secondly,
by using Hankel type contours, we derive some important estimates of special
functions arising from a variation of constants formula of solutions to
inhomogeneous linear systems. Then, by proposing new weighted norms combined
with the Banach fixed point theorem for appropriate Banach spaces, we get the
desired conclusions. Finally, numerical examples are provided to illustrate the
effect of the main theoretical results.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci