Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A formulation of the fractional Noether-type theorem for
  multidimensional Lagrangians   This paper presents the Euler-Lagrange equations for fractional variational
problems with multiple integrals. The fractional Noether-type theorem for
conservative and nonconservative generalized physical systems is proved. Our
approach uses well-known notion of the Riemann-Liouville fractional derivative.

20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat