On a fractional alternating Poisson process

On a fractional alternating Poisson process

We propose a generalization of the alternating Poisson process from the point of view offractional calculus. We consider the system of differential equations governing the state probabilitiesof the alternating Poisson process and replace the ordinary derivative with the fractional derivative (inthe...

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Bibliographic Details
Main Authors: Antonio Di Crescenzo, Alessandra Meoli
Format: Article
Language:English
Published: AIMS Press 2016-09-01
Series:AIMS Mathematics
Subjects:
Caputo derivative| Mittag-Leffler function| fractional process| alternating process|renewal process| renewal function
Online Access:http://www.aimspress.com/article/10.3934/Math.2016.3.212/fulltext.html

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http://www.aimspress.com/article/10.3934/Math.2016.3.212/fulltext.html

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