Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convolution-type stochastic Volterra equations with additive fractional
  Brownian motion in Hilbert space   We consider convolution-type stochastic Volterra equations with additive
Hilbert-valued fractional Brownian motion, $0<H<1$. We find the weak solution
to this stochastic Volterra equation, and study its stochastic integral part,
the stochastic convolution, which we show to be mean-zero Gaussian. We develop
an It\^o isometry for stochastic integrals with respect to a Hilbert-valued
fractional Brownian motion, and use it to compute the covariance of the
stochastic convolution. This formula, which uses fractional integrals and
derivatives, generalizes the well-known formula from the case $H=1/2$.

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The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: comp-gas