Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Diffusion Equation for a Power-Law-Truncated Levy Process   Truncated Levy flights are stochastic processes which display a crossover
from a heavy-tailed Levy behavior to a faster decaying probability distribution
function (pdf). Putting less weight on long flights overcomes the divergence of
the Levy distribution second moment. We introduce a fractional generalization
of the diffusion equation, whose solution defines a process in which a Levy
flight of exponent alpha is truncated by a power-law of exponent 5 - alpha. A
closed form for the characteristic function of the process is derived. The pdf
of the displacement slowly converges to a Gaussian in its central part showing
however a power law far tail. Possible applications are discussed.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph