Generalized fractional Poisson process and related stochastic dynamics

DOI10.1515/fca-2020-0034zbMath1474.60202arXiv1906.09704OpenAlexW3104025095MaRDI QIDQ2209173

Alejandro P. Riascos, Thomas M. Michelitsch

Publication date: 28 October 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09704

zbMATH Keywords

renewal processMittag-Leffler type functionscontinuous-time random walkfractional ordinary and partial differential equationsgeneralized fractional Poisson processPrabhakar fractional calculusgeneralized fractional Kolmogorov-Feller equationnon-Markovian random walks

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Renewal theory (60K05)

Related Items

State dependent versions of the space-time fractional Poisson process ⋮ Competing risks and shock models governed by a generalized bivariate Poisson process ⋮ Squirrels can remember little: a random walk with jump reversals induced by a discrete-time renewal process ⋮ A fractional generalization of the Dirichlet distribution and related distributions ⋮ On discrete time Prabhakar-generalized fractional Poisson processes and related stochastic dynamics

Uses Software

• ML

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