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Time-fractional diffusion equation with time dependent diffusion coefficient

Physical Review E, 2005
We consider the time-fractional diffusion equation with time dependent diffusion coefficient given by (O)O(alpha)(C)(t) W (x,t) = D(alpha,gamma)(t)(gamma) [theta(2) W (x,t) /theta x(2)], where O is the Caputo operator. We investigate its solutions in the infinite and the finite domains.
Kwok Sau, Fa, E K, Lenzi
openaire   +2 more sources

Multi-time fractional diffusion equation

The European Physical Journal Special Topics, 2013
We construct a fundamental solution of a multi-time diffusion equation with the Dzhrbashyan-Nersesyan fractional differentiation operator with respect to the time variables. We give a representation for a solution of the Cauchy problem and prove the uniqueness theorem in the class of functions of fast growth.
openaire   +1 more source

Fractional-order diffusion-wave equation

International Journal of Theoretical Physics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Fractional diffusion equations and anomalous diffusion

Contemporary Physics, 2018
Luiz Roberto Evangelista   +1 more
openaire   +2 more sources

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

SIAM Journal on Numerical Analysis, 2009
Xianjuan Li, Chuanju Xu
exaly  

A new difference scheme for the time fractional diffusion equation

Journal of Computational Physics, 2015
Anatoly A Alikhanov
exaly  

The fundamental solutions for the fractional diffusion-wave equation

Applied Mathematics Letters, 1996
Francesco Mainardi
exaly  

A Fourier method for the fractional diffusion equation describing sub-diffusion

Journal of Computational Physics, 2007
Chang-Ming Chen, Ian Turner, Vo V Anh
exaly  

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