Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Stability   A fractional generalization of variations is used to define a stability of
non-integer order. Fractional variational derivatives are suggested to describe
the properties of dynamical systems at fractional perturbations. We formulate
stability with respect to motion changes at fractional changes of variables.
Note that dynamical systems, which are unstable "in sense of Lyapunov", can be
stable with respect to fractional variations.

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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
2
The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an