Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subordination principles for the multi-dimensional space-time-fractional
  diffusion-wave equation   This paper is devoted to an in deep investigation of the first fundamental
solution to the linear multi-dimensional space-time-fractional diffusion-wave
equation. This equation is obtained from the diffusion equation by replacing
the first order time-deri\-va\-ti\-ve by the Caputo fractional derivative of
order $\beta,\ 0 <\beta \leq 2$ and the Laplace operator by the fractional
Laplacian $(-\Delta)^{\frac\alpha 2}$ with $0<\alpha \leq 2$. First, a
representation of the fundamental solution in form of a Mellin-Barnes integral
is deduced by employing the technique of the Mellin integral transform. This
representation is then used for establishing of several subordination formulas
that connect the fundamental solutions for different values of the fractional
derivatives $\alpha$ and $\beta$. We also discuss some new cases of completely
monotone functions and probability density functions that are expressed in
terms of the Mittag-Leffler function, the Wright function, and the generalized
Wright function.

19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ