Variational approach for 𝜓-Hilfer fractional operator
In this work, we aim to present properties that characterize a variational structure in the 𝜓-fractional space Hp𝛼,𝛽;𝜓(Ω) for the 𝜓-Hilfer fractional operator. The importance of these results are strongly used in the investigation of fractional differential equations involving problems such as: 𝑝-L...
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| Format: | Article |
| Language: | Portuguese |
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UNESP
2022-09-01
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| Series: | CQD Revista Eletrônica Paulista de Matemática |
| Subjects: | |
| Online Access: | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/329 |
| _version_ | 1827849781982003200 |
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| author | José Vanterler da Costa Sousa |
| author_facet | José Vanterler da Costa Sousa |
| author_sort | José Vanterler da Costa Sousa |
| collection | DOAJ |
| description |
In this work, we aim to present properties that characterize a variational structure in the 𝜓-fractional space Hp𝛼,𝛽;𝜓(Ω) for the 𝜓-Hilfer fractional operator. The importance of these results are strongly used in the investigation of fractional differential equations involving problems such as: 𝑝-Laplacian, concaveconvex, singular double phases, among others.
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| first_indexed | 2024-03-12T10:11:00Z |
| format | Article |
| id | doaj.art-d23d499ab4474a6480b561fc7cdc4be9 |
| institution | Directory Open Access Journal |
| issn | 2316-9664 |
| language | Portuguese |
| last_indexed | 2024-03-12T10:11:00Z |
| publishDate | 2022-09-01 |
| publisher | UNESP |
| record_format | Article |
| series | CQD Revista Eletrônica Paulista de Matemática |
| spelling | doaj.art-d23d499ab4474a6480b561fc7cdc4be92023-09-02T10:55:10ZporUNESPCQD Revista Eletrônica Paulista de Matemática2316-96642022-09-01222Variational approach for 𝜓-Hilfer fractional operatorJosé Vanterler da Costa Sousa0Center for Mathematics, Computing and Cognition UFABC In this work, we aim to present properties that characterize a variational structure in the 𝜓-fractional space Hp𝛼,𝛽;𝜓(Ω) for the 𝜓-Hilfer fractional operator. The importance of these results are strongly used in the investigation of fractional differential equations involving problems such as: 𝑝-Laplacian, concaveconvex, singular double phases, among others. https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/329 𝜓-Hilfer fractional operatorvariational approach𝜓-fractional spaces. |
| spellingShingle | José Vanterler da Costa Sousa Variational approach for 𝜓-Hilfer fractional operator CQD Revista Eletrônica Paulista de Matemática 𝜓-Hilfer fractional operator variational approach 𝜓-fractional spaces. |
| title | Variational approach for 𝜓-Hilfer fractional operator |
| title_full | Variational approach for 𝜓-Hilfer fractional operator |
| title_fullStr | Variational approach for 𝜓-Hilfer fractional operator |
| title_full_unstemmed | Variational approach for 𝜓-Hilfer fractional operator |
| title_short | Variational approach for 𝜓-Hilfer fractional operator |
| title_sort | variational approach for 𝜓 hilfer fractional operator |
| topic | 𝜓-Hilfer fractional operator variational approach 𝜓-fractional spaces. |
| url | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/329 |
| work_keys_str_mv | AT josevanterlerdacostasousa variationalapproachforψhilferfractionaloperator |