Generalized fractional calculus and some models of generalized counting processes
Probability
2023-12-11 v1
Abstract
In the paper we consider models of generalized counting processes time-changed by a general inverse subordinator, we characterize their distributions and present governing equations for them. The equations are given in terms of the generalized fractional derivatives, namely, convolutions-type derivatives with respect to Bern\v{s}tein functions. Some particular examples are presented.
Keywords
Cite
@article{arxiv.2312.04647,
title = {Generalized fractional calculus and some models of generalized counting processes},
author = {Khrystyna Buchak and Lyudmyla Sakhno},
journal= {arXiv preprint arXiv:2312.04647},
year = {2023}
}
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16 pages