Solution to the Fractional Order Euler-Poisson-Darboux Equation

DOI10.46698/t3110-3630-4771-fOpenAlexW4283258192MaRDI QIDQ5039872

Azamat Valerianovich Dzarakhohov, Elina Leonidovna Shishkina

Publication date: 10 October 2022

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj816

zbMATH Keywords

\(H\)-functionMeijer integral transformfractional Euler-Poisson-Darboux equationfractional powers of Bessel operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Series solutions to PDEs (35C10) Green's functions for ordinary differential equations (34B27) Other functions defined by series and integrals (33E20) Ordinary differential equations (34-XX)

Cites Work

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• Flying randomly in \(\mathbb R^d\) with Dirichlet displacements
• Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchhoff's laws
• Hyperbolic equations arising in random models
• A fractional integral operator corresponding to negative powers of a certain second-order differential operator
• A stochastic model related to the telegrapher's equation
• Random flights connecting porous medium and Euler–Poisson–Darboux equations
• A planar random motion governed by the two-dimensional telegraph equation
• Mittag-Leffler Functions, Related Topics and Applications
• Operational Calculus and Related Topics
• Random flights related to the Euler-Poisson-Darboux equation
• ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
• Discrete and continuous random walk models for space-time fractional diffusion
• Statistical analysis of the inhomogeneous telegrapher's process
• The random walk's guide to anomalous diffusion: A fractional dynamics approach