A class of nonlinear double-phase Dirichlet fractional differential equations
In this paper, we study the existence of positive solutions for a new class of double-phase Dirichlet fractional differential equations with singular and superlinear terms. By applying the Nehari manifold method we show that for all small values of the parameter τ > 0, the considered equation ha...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-05-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42116 |
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| author | Shengda Zeng Jinxia Cen José Vanterler da C. Sousa |
| author_facet | Shengda Zeng Jinxia Cen José Vanterler da C. Sousa |
| author_sort | Shengda Zeng |
| collection | DOAJ |
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In this paper, we study the existence of positive solutions for a new class of double-phase Dirichlet fractional differential equations with singular and superlinear terms. By applying the Nehari manifold method we show that for all small values of the parameter τ > 0, the considered equation has at least two positive solutions.
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| format | Article |
| id | doaj-art-540bffd84df942b39858478aab82eb6b |
| institution | Kabale University |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-540bffd84df942b39858478aab82eb6b2025-08-20T03:33:17ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-05-013010.15388/namc.2025.30.42116A class of nonlinear double-phase Dirichlet fractional differential equationsShengda Zeng0https://orcid.org/0000-0003-1818-842XJinxia Cen1https://orcid.org/0000-0001-9360-8821José Vanterler da C. Sousa2Yulin Normal UniversityZhejiang Normal UniversityState University of Maranhao In this paper, we study the existence of positive solutions for a new class of double-phase Dirichlet fractional differential equations with singular and superlinear terms. By applying the Nehari manifold method we show that for all small values of the parameter τ > 0, the considered equation has at least two positive solutions. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42116psi-Hilfer fractional derivativedouble-phase problempositive solutionsingularity |
| spellingShingle | Shengda Zeng Jinxia Cen José Vanterler da C. Sousa A class of nonlinear double-phase Dirichlet fractional differential equations Nonlinear Analysis psi-Hilfer fractional derivative double-phase problem positive solution singularity |
| title | A class of nonlinear double-phase Dirichlet fractional differential equations |
| title_full | A class of nonlinear double-phase Dirichlet fractional differential equations |
| title_fullStr | A class of nonlinear double-phase Dirichlet fractional differential equations |
| title_full_unstemmed | A class of nonlinear double-phase Dirichlet fractional differential equations |
| title_short | A class of nonlinear double-phase Dirichlet fractional differential equations |
| title_sort | class of nonlinear double phase dirichlet fractional differential equations |
| topic | psi-Hilfer fractional derivative double-phase problem positive solution singularity |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42116 |
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