Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives
Abstract In this paper using topological degree we study the existence of nontrivial solutions for a fractional differential equation involving integral boundary conditions. Here, the nonlinear term may be sign-changing and may also depend on the derivatives of the unknown function.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2058-y |
| _version_ | 1818540567359913984 |
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| author | Zhengqing Fu Shikun Bai Donal O’Regan Jiafa Xu |
| author_facet | Zhengqing Fu Shikun Bai Donal O’Regan Jiafa Xu |
| author_sort | Zhengqing Fu |
| collection | DOAJ |
| description | Abstract In this paper using topological degree we study the existence of nontrivial solutions for a fractional differential equation involving integral boundary conditions. Here, the nonlinear term may be sign-changing and may also depend on the derivatives of the unknown function. |
| first_indexed | 2024-12-11T21:57:04Z |
| format | Article |
| id | doaj.art-f861a2b3f8094e1a8f7cee2805822335 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T21:57:04Z |
| publishDate | 2019-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f861a2b3f8094e1a8f7cee28058223352022-12-22T00:49:17ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-04-012019111610.1186/s13660-019-2058-yNontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivativesZhengqing Fu0Shikun Bai1Donal O’Regan2Jiafa Xu3College of Mathematics and System Sciences, Shandong University of Science and TechnologySchool of Mathematical Sciences, Chongqing Normal UniversitySchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandSchool of Mathematical Sciences, Chongqing Normal UniversityAbstract In this paper using topological degree we study the existence of nontrivial solutions for a fractional differential equation involving integral boundary conditions. Here, the nonlinear term may be sign-changing and may also depend on the derivatives of the unknown function.http://link.springer.com/article/10.1186/s13660-019-2058-yFractional integral boundary value problemsNontrivial solutionsTopological degree |
| spellingShingle | Zhengqing Fu Shikun Bai Donal O’Regan Jiafa Xu Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives Journal of Inequalities and Applications Fractional integral boundary value problems Nontrivial solutions Topological degree |
| title | Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives |
| title_full | Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives |
| title_fullStr | Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives |
| title_full_unstemmed | Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives |
| title_short | Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives |
| title_sort | nontrivial solutions for an integral boundary value problem involving riemann liouville fractional derivatives |
| topic | Fractional integral boundary value problems Nontrivial solutions Topological degree |
| url | http://link.springer.com/article/10.1186/s13660-019-2058-y |
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