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Time-fractional diffusion equation with time dependent diffusion coefficient
Physical Review E, 2005We 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
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Multi-time fractional diffusion equation
The European Physical Journal Special Topics, 2013We 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.
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Fractional-order diffusion-wave equation
International Journal of Theoretical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional diffusion equations and anomalous diffusion
Contemporary Physics, 2018Luiz Roberto Evangelista +1 more
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A Space-Time Spectral Method for the Time Fractional Diffusion Equation
SIAM Journal on Numerical Analysis, 2009Xianjuan Li, Chuanju Xu
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The random walk's guide to anomalous diffusion: a fractional dynamics approach
Physics Reports, 2000Ralf Metzler, Joseph Klafter
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A new difference scheme for the time fractional diffusion equation
Journal of Computational Physics, 2015Anatoly A Alikhanov
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The fundamental solutions for the fractional diffusion-wave equation
Applied Mathematics Letters, 1996Francesco Mainardi
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A Fourier method for the fractional diffusion equation describing sub-diffusion
Journal of Computational Physics, 2007Chang-Ming Chen, Ian Turner, Vo V Anh
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