Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak solutions to the time-fractional g-Navier-Stokes equations and
  optimal control   In this paper we introduce the $g-$Navier-Stokes equations with
time-fractional derivative of order $\alpha\in(0,1)$ in domains of $\mathbb
R^2$. We then study the existence and uniqueness of weak solutions by means of
Galerkin approximation. Finally, an optimal control problem is considered and
solved.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph