Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of an integro-differential equation with positive type
  kernels modeling fractional order viscoelasticity   A hyperbolic type integro-differential equation with two weakly singular
kernels is considered together with mixed homogeneous Dirichlet and
non-homogeneous Neumann boundary conditions. Existence and uniqueness of the
solution is proved by means of Galerkin's method. Regularity estimates are
proved and the limitations of the regularity are discussed. The approach
presented here is also used to prove regularity of any order for models with
smooth kernels, that arise in the theory of linear viscoelasticity, under the
appropriate assumptions on data.

25
The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin