Generalized fractional calculus and some models of generalized counting processes.

Autor: Buchak, Khrystyna, Sakhno, Lyudmyla
Předmět:
Zdroj: Modern Stochastics: Theory & Applications; Aug2024, Vol. 11 Issue 4, p439-458, 20p
Abstrakt: Models of generalized counting processes time-changed by a general inverse subordinator are considered, their distributions are characterized, and governing equations for them are presented. The equations are given in terms of the generalized fractional derivatives, namely, convolution-type derivatives with respect to Bernštein functions. Some particular examples are presented. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index