2 papers
math.PR2026
On some extensions of generalized counting processes
Lyudmyla Sakhno, Artem Storozhuk
We study different fractional extensions of the Poisson process and generalized counting processes by introducing time-change represented by the inverse to the sums of stable and t…
math.PR2023
Generalized fractional calculus and some models of generalized counting processes
Khrystyna Buchak, Lyudmyla Sakhno
In the paper we consider models of generalized counting processes time-changed by a general inverse subordinator, we characterize their distributions and present governing equation…