Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity
For α∈(1,2), we analyze a stationary superdiffusion equation in the right angle in the unknown u=u(x1,x2): Dx1αu+Dx2αu=f(x1,x2), where Dxα is the Caputo fractional derivative. The classical solvability in the weighted fractional Hölder classes of the associated boundary problems is addressed.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/5395124 |
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| author | Ramzet Dzhafarov Nataliya Vasylyeva |
| author_facet | Ramzet Dzhafarov Nataliya Vasylyeva |
| author_sort | Ramzet Dzhafarov |
| collection | DOAJ |
| description | For α∈(1,2), we analyze a stationary superdiffusion equation in the right angle in the unknown u=u(x1,x2): Dx1αu+Dx2αu=f(x1,x2), where Dxα is the Caputo fractional derivative. The classical solvability in the weighted fractional Hölder classes of the associated boundary problems is addressed. |
| format | Article |
| id | doaj-art-922dd7889e044eed9f4573d32d850597 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-922dd7889e044eed9f4573d32d8505972025-08-20T02:10:03ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/53951245395124Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and RegularityRamzet Dzhafarov0Nataliya Vasylyeva1Institute of Applied Mathematics and Mechanics of NAS of Ukraine, G. Batyuka St. 19, 84100 Sloviansk, UkraineInstitute of Applied Mathematics and Mechanics of NAS of Ukraine, G. Batyuka St. 19, 84100 Sloviansk, UkraineFor α∈(1,2), we analyze a stationary superdiffusion equation in the right angle in the unknown u=u(x1,x2): Dx1αu+Dx2αu=f(x1,x2), where Dxα is the Caputo fractional derivative. The classical solvability in the weighted fractional Hölder classes of the associated boundary problems is addressed.http://dx.doi.org/10.1155/2018/5395124 |
| spellingShingle | Ramzet Dzhafarov Nataliya Vasylyeva Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity Journal of Mathematics |
| title | Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity |
| title_full | Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity |
| title_fullStr | Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity |
| title_full_unstemmed | Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity |
| title_short | Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity |
| title_sort | boundary value problems governed by superdiffusion in the right angle existence and regularity |
| url | http://dx.doi.org/10.1155/2018/5395124 |
| work_keys_str_mv | AT ramzetdzhafarov boundaryvalueproblemsgovernedbysuperdiffusionintherightangleexistenceandregularity AT nataliyavasylyeva boundaryvalueproblemsgovernedbysuperdiffusionintherightangleexistenceandregularity |