Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Series Solution of System of Fractional Order Ambartsumian Equations:
  Application in Astronomy   The Ambartsumian equation is arising in astronomy and used in the theory of
surface brightness in a milky way. In this paper, we introduce system of
fractional order Ambartsumian equations and use the Picard iterative method to
obtain the series solution of these equations. The solution is provided in the
form of a power series which is convergent for all reals. We prove the
convergence of this series.

30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph