Euler-Poisson-Darboux equations and iterated fractional Brownian motions

DOI10.1007/s40590-023-00537-9zbMath1530.35172OpenAlexW4386282937MaRDI QIDQ6081470

Roberto Garra, Enzo Orsingher

Publication date: 5 October 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-023-00537-9

zbMATH Keywords

exact solutionsEuler-Poisson-Darboux equationiterated fractional Brownian motion

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) PDEs with randomness, stochastic partial differential equations (35R60) Second-order hyperbolic equations (35L10) Euler-Poisson-Darboux equations (35Q05) Singular hyperbolic equations (35L81)

Cites Work

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• Uniqueness of the solution of the Cauchy problem for the general Euler-Poisson-Darboux equation
• Heat conduction: a telegraph-type model with self-similar behavior of solutions
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method
• Higher order PDE’s and iterated processes
• Random flights related to the Euler-Poisson-Darboux equation

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