  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.
