Generalized fractional calculus and some models of generalized counting processes
| Autor: | Buchak, Khrystyna, Sakhno, Lyudmyla |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 16 pages |
| Databáze: | arXiv |
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