Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subdiffusion equation with Caputo fractional derivative with respect to
  another function   We show an application of a subdiffusion equation with Caputo fractional time
derivative with respect to another function $g$ to describe subdiffusion in a
medium having a structure evolving over time. In this case a continuous
transition from subdiffusion to other type of diffusion may occur. The process
can be interpreted as "ordinary" subdiffusion with fixed subdiffusion parameter
(subdiffusion exponent) $\alpha$ in which time scale is changed by the function
$g$. As example, we consider the transition from "ordinary" subdiffusion to
ultraslow diffusion. The function $g$ generates the additional aging process
superimposed on the "standard" aging generated by "ordinary" subdiffusion. The
aging process is analyzed using coefficient of relative aging of
$g$--subdiffusion with respect to "ordinary" subdiffusion. The method of
solving the $g$-subdiffusion equation is also presented.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci