Solution to the Fractional Order Euler-Poisson-Darboux Equation
From MaRDI portal
Publication:5039872
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
\(H\)-functionMeijer integral transformfractional Euler-Poisson-Darboux equationfractional powers of Bessel operator
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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