Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on paper "Anomalous relaxation model based on the fractional
  derivative with a Prabhakarlike kernel" [Z. Angew. Math. Phys. (2019) 70:42]   Inspired by the article "Anomalous relaxation model based on the fractional
derivative with a Prabhakar-like kernel" (Z. Angew. Math. Phys. (2019) 70:42)
which authors D. Zhao and HG. Sun studied the integro-differential equation
with the kernel given by the Prabhakar function $e^{-\gamma}_{\alpha, \beta}(t,
\lambda)$ we provide the solution to this equation which is complementary to
that obtained up to now. Our solution is valid for effective relaxation times
which admissible range extends the limits given in \cite[Theorem
3.1]{DZhao2019} to all positive values. For special choices of parameters
entering the equation itself and/or characterizing the kernel the solution
comprises to known phenomenological relaxation patterns, e.g. to the Cole-Cole
model (if $\gamma = 1, \beta=1-\alpha$) or to the standard Debye relaxation.

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas