Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimax Solutions of Hamilton--Jacobi Equations with Fractional
  Coinvariant Derivatives   We consider a Cauchy problem for a Hamilton--Jacobi equation with coinvariant
derivatives of an order $\alpha \in (0, 1)$. Such problems arise naturally in
optimal control problems for dynamical systems which evolution is described by
ordinary differential equations with the Caputo fractional derivatives of the
order $\alpha$. We propose a notion of a generalized in the minimax sense
solution of the considered problem. We prove that a minimax solution exists, is
unique, and is consistent with a classical solution of this problem. In
particular, we give a special attention to the proof of a comparison principle,
which requires construction of a suitable Lyapunov--Krasovskii functional.

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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: econ