Fox \(H\) functions in fractional diffusion
DOI10.1016/j.cam.2004.08.006zbMath1061.33012OpenAlexW2045969550MaRDI QIDQ1772351
Gianni Pagnini, Ram Kishore Saxena, Francesco Mainardi
Publication date: 18 April 2005
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2004.08.006
Mellin-Barnes integralsFox \(H\)-functionsFractional derivativesFractional diffusionProbability distributions
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Diffusion processes (60J60) Mittag-Leffler functions and generalizations (33E12) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Self-similar stochastic processes (60G18) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)
Related Items (56)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Fractals and fractional calculus in continuum mechanics
- On the \(H\)-function
- The fundamental solutions for the fractional diffusion-wave equation
- The Wright functions as solutions of the time-fractional diffusion equation.
- Wright functions as scale-invariant solutions of the diffusion-wave equation
- Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals.
- Generalized hypergeometric functions with applications in statistics and physical sciences
- Fractional diffusion and wave equations
- The G and H Functions as Symmetrical Fourier Kernels
- The fundamental solution of the space-time fractional diffusion equation
- The Asymptotic Expansion of the Generalized Bessel Function
- Chance and Stability
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- The Asymptotic Expansion of the Generalized Hypergeometric Function
- THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE
- Spectral analysis of fractional kinetic equations with random data.
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Fox \(H\) functions in fractional diffusion