Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivatives and integrals: matrix order operators as an extension of the
  fractional calculus   A natural consequence of the fractional calculus is its extension to a matrix
order of differentiation and integration. A matrix-order derivative definition
and a matrix-order integration arise from the generalization of the gamma
function applied to the fractional differintegration definition. This work
focuses on some results applied to the Riemann-Liouville version of the
fractional calculus extended to its matrix-order concept. This extension also
may apply to other versions of fractional calculus. Some examples of possible
ordinary and partial matrix-order differential equations and related exact
solutions are shown.

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The categories of this paper are: hep-th
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The categories of this paper are: eess
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
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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: quant-ph