2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166716The cascade kinetic fragmentation process of solids is investigated when the condition probability density of splinter formation do not depends on time and has the property $P(ρ, r, t) = P(ρ/r)$. It is obtained the evolution equation for the probability distribution density in terms of its Mellin transformation. In the particular case $P(ρ/r) = C (ρ/r)^α$, the limit solution of this equation at $t \to \infty$ is found. It differs essentially from the Kolmogorov law.5 pagesMathematical Physics82-99; 82C31; 74E99text