Implicit difference approximation for the time fractional diffusion equation

[1]  I. Turner,et al.  Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation , 2005 .

[2]  Fawang Liu,et al.  The time fractional diffusion equation and the advection-dispersion equation , 2005, The ANZIAM Journal.

[3]  M. Meerschaert,et al.  Finite difference approximations for fractional advection-dispersion flow equations , 2004 .

[4]  G. Fix,et al.  Least squares finite-element solution of a fractional order two-point boundary value problem , 2004 .

[5]  G. Mercer,et al.  Non-adiabatic combustion waves for general Lewis numbers: wave speed and extinction conditions , 2004, The ANZIAM Journal.

[6]  Fawang Liu,et al.  Numerical simulation for solute transport in fractal porous media , 2004 .

[7]  Fawang Liu,et al.  Numerical solution of the space fractional Fokker-Planck equation , 2004 .

[8]  I. Turner,et al.  Time fractional advection-dispersion equation , 2003 .

[9]  R. Gorenflo,et al.  Time Fractional Diffusion: A Discrete Random Walk Approach , 2002 .

[10]  O. Agrawal Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain , 2002 .

[11]  N. Leonenko,et al.  Spectral Analysis of Fractional Kinetic Equations with Random Data , 2001 .

[12]  R. Gorenflo,et al.  Wright functions as scale-invariant solutions of the diffusion-wave equation , 2000 .

[13]  F. Mainardi The fundamental solutions for the fractional diffusion-wave equation , 1996 .

[14]  W. Wyss The fractional diffusion equation , 1986 .

[15]  M. Meerschaert,et al.  Finite difference approximations for two-sided space-fractional partial differential equations , 2006 .

[16]  L. Beghin,et al.  Time-fractional telegraph equations and telegraph processes with brownian time , 2004 .

[17]  W. Schneider,et al.  Fractional diffusion and wave equations , 1989 .