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Behavior of fractional diffusion at the origin
Physical Review E, 2003The present work discusses the fractional diffusion equation based on the Riemann-Liouville fractional time derivatives. It was shown that the normalization conservation constraint leads to the divergency of diffusive agent concentration at the origin. This divergency implies an external source of the diffusive agent at r-->0.
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Reprint of: Boundary conditions for fractional diffusion
Journal of Computational and Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris Baeumer +3 more
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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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Time-fractional diffusion equation for signal smoothing
Applied Mathematics and Computation, 2018F Liu, Yuanlu Li
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The fundamental solutions for the fractional diffusion-wave equation
Applied Mathematics Letters, 1996Francesco Mainardi
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Modeling and simulation of the fractional space-time diffusion equation
Communications in Nonlinear Science and Numerical Simulation, 2016J F Gómez-Aguilar +2 more
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Fractional and fractal derivative models for transient anomalous diffusion: Model comparison
Chaos, Solitons and Fractals, 2017Hongguang Sun, Yong Zhang
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