Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Fractional Derivatives of Radial Basis Functions   The paper provides the fractional integrals and derivatives of the
Rie\-mann-Liouville and Caputo type for the five kinds of radial basis
functions (RBFs), including the powers, Gaussian, multiquadric, Matern and
thin-plate splines, in one dimension. It allows to use high order numerical
methods for solving fractional differential equations. The results are tested
by solving two fractional differential equations. The first one is a fractional
ODE which is solved by the RBF collocation method and the second one is a
fractional PDE which is solved by the method of lines based on the spatial
trial spaces spanned by the Lagrange basis associated to the RBFs.

19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph