Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Calculus of Variations of Several Independent Variables   We prove multidimensional integration by parts formulas for generalized
fractional derivatives and integrals. The new results allow us to obtain
optimality conditions for multidimensional fractional variational problems with
Lagrangians depending on generalized partial integrals and derivatives. A
generalized fractional Noether's theorem, a formulation of Dirichlet's
principle and an uniqueness result are given.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga