Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit solutions for linear variable-coefficient fractional
  differential equations with respect to functions   Explicit solutions of differential equations of complex fractional orders
with respect to functions and with continuous variable coefficients are
established. The representations of solutions are given in terms of some
convergent infinite series of fractional integro-differential operators, which
can be widely and efficiently used for analytic and computational purposes. In
the case of constant coefficients, the solution can be expressed in terms of
the multivariate Mittag-Leffler functions. In particular, the obtained result
extends the Luchko-Gorenflo representation formula to a general class of linear
fractional differential equations with variable coefficients, to complex
fractional derivatives, and to fractional derivatives with respect to a given
function.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph