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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… Click to show full abstract
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.
Keywords:
poisson processes;
tempered fractional;
fractional equations;
poisson;
processes fractional;
fractional poisson
Journal Title: Stochastic Analysis and Applications
Year Published: 2018
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Journal Title: Stochastic Analysis and Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!