Concepedia

Optimal regularization for an unknown source of space-fractional diffusion equation

Dang Duc Trong, Dinh Nguyen Duy Hai, Nguyen Dang Minh

Applied Mathematics and Computation · 2019 · 13 citations · 20 references

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References

20

The random walk's guide to anomalous diffusion: a fractional dynamics approach

Ralf Metzler, J. Klafter · Physics Reports · 2000 · 8.9K citations

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

Kenichi Sakamoto, Masahiro Yamamoto · Journal of Mathematical Analysis and Applications · 2011 · 1.2K citations

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Finite difference approximations for two-sided space-fractional partial differential equations

Mark M. Meerschaert, Charles Tadjeran · Applied Numerical Mathematics · 2005 · 936 citations

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Recent applications of fractional calculus to science and engineering

Lokenath Debnath · International Journal of Mathematics and Mathematical Sciences · 2003 · 850 citations · Full text

, , +12

The fundamental solution of the space-time fractional diffusion equation

Francesco Mainardi, Yuri Luchko, Gianni Pagnini · ArXiv.org · 2007 · 733 citations · Full text

, , +16