Generalized fractional calculus and some models of generalized counting processes
Volume 11, Issue 4 (2024), pp. 439–458
Pub. online: 30 May 2024
Type: Research Article
Open Access
Open Access
Received
3 December 2023
3 December 2023
Revised
14 March 2024
14 March 2024
Accepted
14 April 2024
14 April 2024
Published
30 May 2024
30 May 2024
Abstract
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.
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