Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transformation Property of the Caputo Fractional Differential Operator
  in Two Dimensional Space   The transformation property of the Caputo fractional derivative operator of a
scalar function under rotation in two dimensional space is derived. The study
of the transformation property is essential for the formulation of fractional
calculus in multi-dimensional space. The inclusion of fractional calculus in
the Lagrangian and Hamiltonian dynamics relies on such transformation. An
illustrative example is given.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th