Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method
In the paper, we investigate a weak maximum principle for Lagrange problem described by a fractional ordinary elliptic system with Dirichlet boundary conditions. The Dubovitskii–Milyutin approach is used to find the necessary conditions. The fractional Laplacian is understood in the sense of Stone–v...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2020-03-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/16520 |
| _version_ | 1811310905094307840 |
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| author | Dariusz Idczak Stanisław Walczak |
| author_facet | Dariusz Idczak Stanisław Walczak |
| author_sort | Dariusz Idczak |
| collection | DOAJ |
| description | In the paper, we investigate a weak maximum principle for Lagrange problem described by a fractional ordinary elliptic system with Dirichlet boundary conditions. The Dubovitskii–Milyutin approach is used to find the necessary conditions. The fractional Laplacian is understood in the sense of Stone–von Neumann operator calculus. |
| first_indexed | 2024-04-13T10:07:16Z |
| format | Article |
| id | doaj.art-3eed611d4c94402e8a3f018103f99962 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:07:16Z |
| publishDate | 2020-03-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-3eed611d4c94402e8a3f018103f999622022-12-22T02:51:02ZengVilnius University PressNonlinear Analysis1392-51132335-89632020-03-0125210.15388/namc.2020.25.16520Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin methodDariusz Idczak0Stanisław Walczak1University of LodzState College of Applied Sciences in Skierniewice / University of LodzIn the paper, we investigate a weak maximum principle for Lagrange problem described by a fractional ordinary elliptic system with Dirichlet boundary conditions. The Dubovitskii–Milyutin approach is used to find the necessary conditions. The fractional Laplacian is understood in the sense of Stone–von Neumann operator calculus.https://www.journals.vu.lt/nonlinear-analysis/article/view/16520fractional LaplacianDirichlet boundary conditionsoptimal controlmaximum principle, Dubovitskii–Milyutin theorem |
| spellingShingle | Dariusz Idczak Stanisław Walczak Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method Nonlinear Analysis fractional Laplacian Dirichlet boundary conditions optimal control maximum principle, Dubovitskii–Milyutin theorem |
| title | Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method |
| title_full | Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method |
| title_fullStr | Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method |
| title_full_unstemmed | Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method |
| title_short | Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method |
| title_sort | lagrange problem for fractional ordinary elliptic system via dubovitskii milyutin method |
| topic | fractional Laplacian Dirichlet boundary conditions optimal control maximum principle, Dubovitskii–Milyutin theorem |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/16520 |
| work_keys_str_mv | AT dariuszidczak lagrangeproblemforfractionalordinaryellipticsystemviadubovitskiimilyutinmethod AT stanisławwalczak lagrangeproblemforfractionalordinaryellipticsystemviadubovitskiimilyutinmethod |