Tempered Fractional Poisson Processes and Fractional Equations with Z-Transform
Probability
2018-08-03 v1
Abstract
In this article, we derive the state probabilities of different type of space- and time-fractional Poisson processes using z-transform. We work on tempered versions of time-fractional Poisson process and space-fractional Poisson processes. We also introduce Gegenbauer type fractional differential equations and their solutions using z-transform. Our results generalize and complement the result available on fractional Poisson processes in several directions.
Keywords
Cite
@article{arxiv.1808.00759,
title = {Tempered Fractional Poisson Processes and Fractional Equations with Z-Transform},
author = {Neha Gupta and Arun Kumar and Nikolai Leonenko},
journal= {arXiv preprint arXiv:1808.00759},
year = {2018}
}