Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Ulam-Hyers stabilities of {\Psi}-Hilfer fractional differential
  equation by means of abstract Volterra operator   In this paper, we consider the new class of the fractional differential
equation involving the abstract Volterra operator in the Banach space and
investigate existence, uniqueness and stabilities of Ulam--Hyers on the compact
interval $\Delta=[a,b]$ and on the infinite interval $I=[a,\infty )$. Our
analysis is based on the application of the Banach fixed point theorem and the
Gronwall inequality involving generalized $\Psi$-fractional integral. At last,
we performed out an application to elucidate the outcomes got.

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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
13
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: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc