Izsák, Ferenc and Szekeres, Béla (2017) Models of space-fractional diffusion: a critical review. APPLIED MATHEMATICS LETTERS, 71. pp. 38-43. ISSN 0893-9659
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Abstract
Space-fractional diffusion problems are investigated from the modeling point of view. It is pointed out that the elementwise power of the Laplacian operator in R n is an inadequate model of fractional diffusion. Also, the approach with fractional calculus using zero extension is not a proper model of homogeneous Dirichlet boundary conditions. At the time, the spectral definition of the fractional Dirichlet Laplacian seems to be in many aspects a proper model of fractional diffusion.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Ferenc Izsák |
| Date Deposited: | 07 Oct 2017 19:20 |
| Last Modified: | 07 Oct 2017 19:20 |
| URI: | http://real.mtak.hu/id/eprint/65175 |
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