Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong analytic solutions of fractional Cauchy problems   Fractional derivatives can be used to model time delays in a diffusion
process. When the order of the fractional derivative is distributed over the
unit interval, it is useful for modeling a mixture of delay sources. In some
special cases distributed order derivative can be used to model ultra-slow
diffusion. We extend the results of (Baeumer, B. and Meerschaert, M. M.
Stochastic solutions for fractional Cauchy problems. Fract. Calc. Appl. Anal. 4
(2001), 481--500.) in the single order fractional derivative case to
distributed order fractional derivative case. In particular, we develop the
strong analytic solutions of distributed order fractional Cauchy problems.

8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph