Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Noether's Theorem with Classical and Riemann-Liouville
  Derivatives   We prove a Noether type symmetry theorem to fractional problems of the
calculus of variations with classical and Riemann-Liouville derivatives. As
result, we obtain constants of motion (in the classical sense) that are valid
along the mixed classical/fractional Euler-Lagrange extremals. Both Lagrangian
and Hamiltonian versions of the Noether theorem are obtained. Finally, we
extend our Noether's theorem to more general problems of optimal control with
classical and Riemann-Liouville derivatives.

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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol