Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Initial-boundary value problems for multi-term time-fractional diffusion
  equations with x-dependent coefficients   In this paper, we discuss an initial-boundary value problem (IBVP) for the
multi-term time-fractional diffusion equation with x-dependent coefficients. By
means of the Mittag-Leffler functions and the eigenfunction expansion, we
reduce the IBVP to an equivalent integral equation to show the unique existence
and the analyticity of the solution for the equation. Especially, in the case
where all the coefficients of the time-fractional derivatives are non-negative,
by the Laplace and inversion Laplace transforms, it turns out that the decay
rate of the solution for long time is dominated by the lowest order of the
time-fractional derivatives. Finally, as an application of the analyticity of
the solution, the uniqueness of an inverse problem in determining the
fractional orders in the multi-term time-fractional diffusion equations from
one interior point observation is established.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs