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Tempered fractional Poisson processes and fractional equations with Z-transform

Gupta, Neha, Kumar, Arun and Leonenko, N. 2020. Tempered fractional Poisson processes and fractional equations with Z-transform. Stochastic Analysis and Applications 38 (5) , pp. 939-957. 10.1080/07362994.2020.1748056

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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 results available on fractional Poisson processes in several directions.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Taylor & Francis
ISSN: 0736-2994
Date of First Compliant Deposit: 23 March 2020
Date of Acceptance: 23 March 2020
Last Modified: 15 Oct 2021 03:40
URI: http://orca.cardiff.ac.uk/id/eprint/130553

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