Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes
Article Type
Research Article
Publication Title
Fractional Calculus and Applied Analysis
Abstract
In this article, convolution-type fractional derivatives generated by Dickman subordinator and inverse Dickman subordinator are discussed. The Dickman subordinator and its inverse are generalizations of stable and inverse stable subordinators, respectively. The series representations of densities of the Dickman subordinator and inverse Dickman subordinator are also obtained, which could be helpful for computational purposes. Moreover, the space and time-fractional Poisson-Dickman processes, space-fractional Skellam Dickman process and non-homogenous Poisson-Dickman process are introduced and their main properties are studied.
First Page
1527
Last Page
1563
DOI
10.1007/s13540-024-00289-x
Publication Date
8-1-2024
Recommended Citation
Gupta, Neha; Kumar, Arun; Leonenko, Nikolai; and Vaz, Jayme, "Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes" (2024). Journal Articles. 4806.
https://digitalcommons.isical.ac.in/journal-articles/4806