Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance
We establish the existence results for two-point boundary value problem of fractional differential equations at resonance by means of the coincidence degree theory. Furthermore, a result on the uniqueness of solution is obtained. We give an example to demonstrate our results.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/632434 |
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| _version_ | 1832563313587781632 |
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| author | Lei Hu Shuqin Zhang Ailing Shi |
| author_facet | Lei Hu Shuqin Zhang Ailing Shi |
| author_sort | Lei Hu |
| collection | DOAJ |
| description | We establish the existence results for two-point boundary value problem of fractional differential equations at resonance by means of the coincidence degree theory. Furthermore, a result on the uniqueness of solution is obtained. We give an example to demonstrate our results. |
| format | Article |
| id | doaj-art-b98332958ae9452f8e8df6fb825dacb1 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b98332958ae9452f8e8df6fb825dacb12025-02-03T01:20:33ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/632434632434Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at ResonanceLei Hu0Shuqin Zhang1Ailing Shi2Department of Mathematics, China University of Mining and Technology, Beijing 100083, ChinaSchool of Science, Shandong Jiaotong University, Jinan, Shandong 250357, ChinaSchool of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, ChinaWe establish the existence results for two-point boundary value problem of fractional differential equations at resonance by means of the coincidence degree theory. Furthermore, a result on the uniqueness of solution is obtained. We give an example to demonstrate our results.http://dx.doi.org/10.1155/2014/632434 |
| spellingShingle | Lei Hu Shuqin Zhang Ailing Shi Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance International Journal of Differential Equations |
| title | Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance |
| title_full | Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance |
| title_fullStr | Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance |
| title_full_unstemmed | Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance |
| title_short | Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance |
| title_sort | existence of solutions for two point boundary value problem of fractional differential equations at resonance |
| url | http://dx.doi.org/10.1155/2014/632434 |
| work_keys_str_mv | AT leihu existenceofsolutionsfortwopointboundaryvalueproblemoffractionaldifferentialequationsatresonance AT shuqinzhang existenceofsolutionsfortwopointboundaryvalueproblemoffractionaldifferentialequationsatresonance AT ailingshi existenceofsolutionsfortwopointboundaryvalueproblemoffractionaldifferentialequationsatresonance |