Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of an inverse source non-local problem for fractional order
  mixed type equation   In the present work, we investigate a uniqueness of solution of the inverse
source problem with non-local conditions for mixed parabolic-hyperbolic type
equation with Caputo fractional derivative. Solution of the problem we
represent as bi-orthogonal series with respect to space variable and will get
fractional order differential equations with respect to time-variable. Using
boundary and gluing conditions, we deduce system of algebraic equations
regarding unknown constants and imposing condition to the determinant of this
system, we prove a uniqueness of considered problem. Moreover, we find some
non-trivial solutions of the problem in case, when imposed conditions are not
fulfilled.

13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom