Spectral Analysis of Fractional Kinetic Equations with Random Data
By Vo Anh, Nikolai N. Leonenko. 2001
206 citations recorded by the source corpus.
Subfields: Mathematical Physics, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b8d4b8c915f1466460a5fe4baae714da60581e25
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Anatoly N. Kochubei
- Fawang Liu
- Francesco Mainardi
- Gianni Pagnini
- Antonio Mura
- Ian L Turner
- Pinghui Zhuang
- Vo Anh
In Modeling and Simulation
- Fawang Liu
- Ian L Turner
- Changpin Li
- Vo Anh
- Rudolf Gorenflo
- Francesco Mainardi
- Pinghui Zhuang
- Kevin Burrage
In Statistical and Nonlinear Physics
- Gianni Pagnini
- Fawang Liu
- Francesco Mainardi
- Rudolf Gorenflo
- Ian L Turner
- Pinghui Zhuang
- Fanhai Zeng
- Kevin Burrage
Citations in the corpus
- A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation (2014, background): “Anh and Leonenko [1] presented a spectral representation of the mean-square solution of the fractional kinetic equation with random initial condition.”
- Cauchy problem for fractional diffusion equations (2003, background): “Fractional diffusion equations describe anomalous diffusion on fractals (physical objects of fractional dimension, like some amorphous semiconductors or strongly porous materials; see [1, 18] and references therein).”
- Implicit difference approximation for the time fractional diffusion equation (2006, background): “Anh and Leonenko [ 2 ] presented a spectral representation of the mean-square solution of the fractional diusion equation with random initial condition.”
- Time-fractional Diffusion of Distributed Order (2007, background): “For readers’ convenience we like to mention other papers dealing with the fundamental solutions of fractional diffusion equations (of single ordrer); a non exhaustive list includes [1, 15, 25, 27, 29, 43, 44, 48, 50, 55] and references therein.”
- Fox H functions in fractional diffusion (2005, unknown): “[1,11–13,15,26–29,32–36].”
- Analytical solution for the time-fractional telegraph equation by the method of separating variables (2008, background): “Anh and Leonenko [7,8] considered the fractional diffusion–wave equation under some random initial conditions and obtained their renormalized solutions.”