Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance
Abstract This paper focuses on the existence of solutions for a higher-order coupled system of fractional differential equations with Sturm-Liouville boundary value conditions at resonance. By applying Mawhin continuation theorem, some new existence results are established. Furthermore, two examples...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1345-5 |
| _version_ | 1811303921048616960 |
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| author | Tingting Xue Wenbin Liu Wei Zhang |
| author_facet | Tingting Xue Wenbin Liu Wei Zhang |
| author_sort | Tingting Xue |
| collection | DOAJ |
| description | Abstract This paper focuses on the existence of solutions for a higher-order coupled system of fractional differential equations with Sturm-Liouville boundary value conditions at resonance. By applying Mawhin continuation theorem, some new existence results are established. Furthermore, two examples are supplied to demonstrate the main results. |
| first_indexed | 2024-04-13T07:56:38Z |
| format | Article |
| id | doaj.art-2bd4ca3d73164068a93a572447ff8a2e |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T07:56:38Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-2bd4ca3d73164068a93a572447ff8a2e2022-12-22T02:55:23ZengSpringerOpenAdvances in Difference Equations1687-18472017-09-012017111810.1186/s13662-017-1345-5Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonanceTingting Xue0Wenbin Liu1Wei Zhang2Department of Mathematics, China University of Mining and TechnologyDepartment of Mathematics, China University of Mining and TechnologyDepartment of Mathematics, China University of Mining and TechnologyAbstract This paper focuses on the existence of solutions for a higher-order coupled system of fractional differential equations with Sturm-Liouville boundary value conditions at resonance. By applying Mawhin continuation theorem, some new existence results are established. Furthermore, two examples are supplied to demonstrate the main results.http://link.springer.com/article/10.1186/s13662-017-1345-5fractional differential systemSturm-Liouville boundary value conditionsresonanceMawhin continuation theorem |
| spellingShingle | Tingting Xue Wenbin Liu Wei Zhang Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance Advances in Difference Equations fractional differential system Sturm-Liouville boundary value conditions resonance Mawhin continuation theorem |
| title | Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance |
| title_full | Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance |
| title_fullStr | Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance |
| title_full_unstemmed | Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance |
| title_short | Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance |
| title_sort | existence of solutions for sturm liouville boundary value problems of higher order coupled fractional differential equations at resonance |
| topic | fractional differential system Sturm-Liouville boundary value conditions resonance Mawhin continuation theorem |
| url | http://link.springer.com/article/10.1186/s13662-017-1345-5 |
| work_keys_str_mv | AT tingtingxue existenceofsolutionsforsturmliouvilleboundaryvalueproblemsofhigherordercoupledfractionaldifferentialequationsatresonance AT wenbinliu existenceofsolutionsforsturmliouvilleboundaryvalueproblemsofhigherordercoupledfractionaldifferentialequationsatresonance AT weizhang existenceofsolutionsforsturmliouvilleboundaryvalueproblemsofhigherordercoupledfractionaldifferentialequationsatresonance |