Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents
In this paper, we prove the existence of at least two weak solutions to a class of singular two-phase problems with variable exponents involving a ?-Hilfer fractional operator and Dirichlet-type boundary conditions when the term source is dependent on one parameter. Here, we use the fiber method and...
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2025
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my.uniten.dspace-365512025-03-03T15:43:01Z Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents Bouali T. Guefaifia R. Jan R. Boulaaras S. Radwan T. 56108739200 56204312000 57205596279 36994353700 57223021036 In this paper, we prove the existence of at least two weak solutions to a class of singular two-phase problems with variable exponents involving a ?-Hilfer fractional operator and Dirichlet-type boundary conditions when the term source is dependent on one parameter. Here, we use the fiber method and the Nehari manifold to prove our results. ? 2024 by the authors. Final 2025-03-03T07:43:01Z 2025-03-03T07:43:01Z 2024 Article 10.3390/fractalfract8060329 2-s2.0-85196279963 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85196279963&doi=10.3390%2ffractalfract8060329&partnerID=40&md5=1ecb9c00ba59c782c9e5e669f5ca054a https://irepository.uniten.edu.my/handle/123456789/36551 8 6 329 All Open Access; Gold Open Access Multidisciplinary Digital Publishing Institute (MDPI) Scopus |
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In this paper, we prove the existence of at least two weak solutions to a class of singular two-phase problems with variable exponents involving a ?-Hilfer fractional operator and Dirichlet-type boundary conditions when the term source is dependent on one parameter. Here, we use the fiber method and the Nehari manifold to prove our results. ? 2024 by the authors. |
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56108739200 |
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56108739200 Bouali T. Guefaifia R. Jan R. Boulaaras S. Radwan T. |
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Article |
| author |
Bouali T. Guefaifia R. Jan R. Boulaaras S. Radwan T. |
| spellingShingle |
Bouali T. Guefaifia R. Jan R. Boulaaras S. Radwan T. Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents |
| author_sort |
Bouali T. |
| title |
Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents |
| title_short |
Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents |
| title_full |
Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents |
| title_fullStr |
Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents |
| title_full_unstemmed |
Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents |
| title_sort |
existence of weak solutions for the class of singular two-phase problems with a ?-hilfer fractional operator and variable exponents |
| publisher |
Multidisciplinary Digital Publishing Institute (MDPI) |
| publishDate |
2025 |
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1825816187099938816 |