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In this paper, we develop a numerical scheme for the space-time fractional parabolic equation, i.e., an equation involving a fractional time derivative and a fractional spatial operator.
Fractional powers of dissipative operators
Tosio Kato · 1961
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Spectral theory of selfadjoint operators in Hilbert space
Michael Sh Birman and Mikhail Zakharovich Solomjak · 1980
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Some estimates for a weighted L 2 {L}^{2} projection
James H Bramble and Jinchao Xu · 1991
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Sinc methods for quadrature and differential equations
John Lund and Kenneth L Bowers · 1992
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Kōsaku Yoshida · 1995
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The analysis of multigrid methods
James H Bramble and Xuejun Zhang · 2000
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Analysis of a system of fractional differential equations
Varsha Daftardar-Gejji and Azizollah Babakhani · 2004
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Theory and Applications of Fractional Differential Equations:(Volume 204, North-Holland Mathematics Studies)
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The Mittag-Leffler function
An analysis of the l1 scheme for the subdiffusion equation with nonsmooth data
Bangti Jin, Raytcho Lazarov, and Zhi Zhou · 2015
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A pde approach to fractional diffusion in general domains: a priori error analysis
Ricardo H Nochetto, Enrique Otárola, and Abner J Salgado · 2015
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Numerical approximation of fractional powers of regularly accretive operators
Andrea Bonito and Joseph Pasciak · 2016
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Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data
Bangti Jin, Raytcho Lazarov, and Zhi Zhou · 2016
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A pde approach to space-time fractional parabolic problems
Ricardo H Nochetto, Enrique Otarola, and Abner J Salgado · 2016
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The approximation of parabolic equations involving fractional powers of elliptic operators
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Garrappa Roberto · 2014
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Numerical approximation of fractional powers of elliptic operators
Andrea Bonito and Joseph Pasciak · 2015
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Numerical approximation of partial differential equations involving fractional differential operators
Wenyu Lei
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Andrea Bonito, Wenyu Lei, and Joseph E Pasciak · 2017
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