Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat Kernel Estimates for Fractional Heat Equation   We study the long-time behavior of the Cesaro means of fundamental solutions
for fractional evolution equations corresponding to random time changes in the
Brownian motion and other Markov processes. We consider both stable
subordinators leading to equations with the Caputo-Djrbashian fractional
derivative and more general cases corresponding to differential-convolution
operators, in particular, distributed order derivatives.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio