Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem
The existence of at least three weak solutions to a discrete fractional boundary value problem containing a <i>p</i>-Laplacian operator and subject to perturbations is proved using variational methods. Some applications of the main results are presented. The results obtained generalize s...
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| Format: | Article |
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MDPI AG
2023-10-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/10/991 |
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| author | Shahin Moradi Ghasem A. Afrouzi John R. Graef |
| author_facet | Shahin Moradi Ghasem A. Afrouzi John R. Graef |
| author_sort | Shahin Moradi |
| collection | DOAJ |
| description | The existence of at least three weak solutions to a discrete fractional boundary value problem containing a <i>p</i>-Laplacian operator and subject to perturbations is proved using variational methods. Some applications of the main results are presented. The results obtained generalize some recent results on both discrete fractional boundary value problems and <i>p</i>-Laplacian boundary value problems. Examples illustrating the results are given. |
| first_indexed | 2024-03-10T21:26:17Z |
| format | Article |
| id | doaj.art-475c10944f614d0aa1a3e02573e60d4d |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T21:26:17Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-475c10944f614d0aa1a3e02573e60d4d2023-11-19T15:38:56ZengMDPI AGAxioms2075-16802023-10-01121099110.3390/axioms12100991Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value ProblemShahin Moradi0Ghasem A. Afrouzi1John R. Graef2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47416-13534, IranDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47416-13534, IranDepartment of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USAThe existence of at least three weak solutions to a discrete fractional boundary value problem containing a <i>p</i>-Laplacian operator and subject to perturbations is proved using variational methods. Some applications of the main results are presented. The results obtained generalize some recent results on both discrete fractional boundary value problems and <i>p</i>-Laplacian boundary value problems. Examples illustrating the results are given.https://www.mdpi.com/2075-1680/12/10/991three solutionsfractional discrete<i>p</i>-Laplacianvariational methods |
| spellingShingle | Shahin Moradi Ghasem A. Afrouzi John R. Graef Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem Axioms three solutions fractional discrete <i>p</i>-Laplacian variational methods |
| title | Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem |
| title_full | Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem |
| title_fullStr | Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem |
| title_full_unstemmed | Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem |
| title_short | Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem |
| title_sort | existence of multiple weak solutions to a discrete fractional boundary value problem |
| topic | three solutions fractional discrete <i>p</i>-Laplacian variational methods |
| url | https://www.mdpi.com/2075-1680/12/10/991 |
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