Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives
This article concerns the existence of solutions to periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives. Under certain linear growth condition of the nonlinearity, we obtain solutions, by using coincidence degree theory. An example i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/261/abstr.html |
| _version_ | 1818889392458039296 |
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| author | Taiyong Chen Wenbin Liu |
| author_facet | Taiyong Chen Wenbin Liu |
| author_sort | Taiyong Chen |
| collection | DOAJ |
| description | This article concerns the existence of solutions to periodic
boundary-value problems for second-order nonlinear differential equation
involving fractional derivatives. Under certain linear growth condition
of the nonlinearity, we obtain solutions, by using coincidence degree theory.
An example illustrates our results. |
| first_indexed | 2024-12-19T17:08:17Z |
| format | Article |
| id | doaj.art-b4dec22f596942fb90e75fce775b5045 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T17:08:17Z |
| publishDate | 2014-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-b4dec22f596942fb90e75fce775b50452022-12-21T20:13:05ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-12-012014261,19Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivativesTaiyong Chen0Wenbin Liu1 Univ. of Mining and Technology, Xuzhou, China Univ. of Mining and Technology, Xuzhou, China This article concerns the existence of solutions to periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives. Under certain linear growth condition of the nonlinearity, we obtain solutions, by using coincidence degree theory. An example illustrates our results.http://ejde.math.txstate.edu/Volumes/2014/261/abstr.htmlSecond-order differential equationfractional derivativeperiodic boundary-value problemcoincidence degree |
| spellingShingle | Taiyong Chen Wenbin Liu Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives Electronic Journal of Differential Equations Second-order differential equation fractional derivative periodic boundary-value problem coincidence degree |
| title | Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives |
| title_full | Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives |
| title_fullStr | Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives |
| title_full_unstemmed | Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives |
| title_short | Solvability of periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives |
| title_sort | solvability of periodic boundary value problems for second order nonlinear differential equation involving fractional derivatives |
| topic | Second-order differential equation fractional derivative periodic boundary-value problem coincidence degree |
| url | http://ejde.math.txstate.edu/Volumes/2014/261/abstr.html |
| work_keys_str_mv | AT taiyongchen solvabilityofperiodicboundaryvalueproblemsforsecondordernonlineardifferentialequationinvolvingfractionalderivatives AT wenbinliu solvabilityofperiodicboundaryvalueproblemsforsecondordernonlineardifferentialequationinvolvingfractionalderivatives |