Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A truncated $\mathcal{V}$-fractional derivative in $\mathbb{R}^n$   Using the six parameters truncated Mittag-Leffler function, we introduce a
convenient truncated function to define the so-called truncated
$\mathcal{V}$-fractional derivative type. After a discussion involving some
properties associated with this derivative, we propose the derivative of a
vector valued function and define the $\mathcal{V}$-fractional Jacobian matrix
whose properties allow us to say that: the multivariable truncated
$\mathcal{V}$-fractional derivative type, as proposed here, generalizes the
truncated $\mathcal{V}$-fractional derivative type and can bee extended to
obtain a truncated $\mathcal{V}$-fractional partial derivative type. As
applications we discuss and prove the change of order associated with two index
i.e., the commutativity of two truncated $\mathcal{V}$-fractional partial
derivative type and propose the truncated $\mathcal{V}$-fractional Green's
theorem.

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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph