Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalised fractional diffusion equations for subdiffusion on
  arbitrarily growing domains   Many physical phenomena occur on domains that grow in time. When the
timescales of the phenomena and domain growth are comparable, models must
include the dynamics of the domain. A widespread intrinsically slow transport
process is subdiffusion. Many models of subdiffusion include a history
dependence. This greatly confounds efforts to incorporate domain growth. Here
we derive the fractional partial differential equations that govern
subdiffusion on a growing domain, based on a Continuous Time Random Walk. This
requires the introduction of a new, comoving, fractional derivative.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin