Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Difference Scheme for Solving Cauchy Problems wuth the Caputo
  Fractional Derivative in a Banach Space   We construct and study a time--semidiscretization scheme for the Cauchy
problem associated with a linear homogeneous differential equation with the
Caputo fractional time derivative of order $\alpha\in(0,1)$ and a spatial
sectorial operator in a Banach space. For this scheme, we obtain
rate--of--convergence and error estimates in terms of the discretization step.
We use properties of Mittag--Leffler functions, hypergeometric functions, and
the calculus of sectorial operators in a Banach space. Results of numerical
experiments are also reported.

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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int