Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special Functions of Fractional Calculus in Form of Convolution Series
  and their Applications   In this paper, we first discuss the convolution series that are generated by
the Sonine kernels from a class of functions continuous on the real positive
semi-axis that have an integrable singularity of power function type at the
point zero. These convolution series are closely related to the general
fractional integrals and derivatives with the Sonine kernels and represent a
new class of the special functions of Fractional Calculus. The Mittag-Leffler
functions as solutions to the fractional differential equations with the
fractional derivatives of both Riemann-Liouville and Caputo types are
particular cases of the convolution series generated by the Sonine kernel
$\kappa(t) = t^{\alpha -1}/\Gamma(\alpha),\ 0<\alpha <1$. The main result of
the paper is derivation of analytic solutions to the single- and multi-term
fractional differential equations with the general fractional derivatives of
the Riemann-Liouville type that were not yet considered in the Fractional
Calculus publications.

8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas