Year: 2026
Type: preprint
Abstract: 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 tempered stable subordinators. We state the governing equations for probability distributions and probability generating functions which involve fractional derivatives of different orders. Closed form expressions for probability distributions and probability generating functions are also provided for several considered models.
Source: arXiv (Cornell University)
Authors: Sakhno, Lyudmyla, Storozhuk, Artem
Institution: Taras Shevchenko National University of Kyiv
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7148337766
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