Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral properties of fractional differentiation operators   We consider fractional differentiation operators in various senses and show
that the strictly accretive property is the common property of fractional
differentiation operators. Also we prove that the sectorial property holds for
differential operators second order with a fractional derivative in the final
term, we explore a location of the spectrum and resolvent sets and show that
the spectrum is discrete. We prove that there exists a two-sided estimate for
eigenvalues of the real component of operators second order with the fractional
derivative in the final term.

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con