  Dynamical scaling is an asymptotic property typical for the dynamics of
first-order phase transitions in physical systems and related to
self-similarity. Based on the integral-representation for the marginal
probabilities of a fractional non-homogeneous Poisson process introduced by
Leonenko et al. (2017) and generalising the standard fractional Poisson
process, we prove the dynamical scaling under fairly mild conditions. Our
result also includes the special case of the standard fractional Poisson
process.
