Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional variational problems depending on fractional derivatives of
  differentiable functions with application to nonlinear chaotic systems   In the present work, we formulate a necessary condition for functionals with
Lagrangians depending on fractional derivatives of differentiable functions to
possess an extremum. The Euler-Lagrange equation we obtained generalizes
previously known results in the literature and enables us to construct simple
Lagrangians for nonlinear systems. As examples of application, we obtain
Lagrangians for some chaotic dynamical systems.

21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph