Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance
We establish novel results on the existence of impulsive problems for fractional differential equations with functional boundary value conditions at resonance with dimKer L=1. Our results are based on the degree theory due to Mawhin, which requires appropriate Banach spaces and suitable projection...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/4208636 |
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| _version_ | 1832551370791583744 |
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| author | Bingzhi Sun Shuqin Zhang Weihua Jiang |
| author_facet | Bingzhi Sun Shuqin Zhang Weihua Jiang |
| author_sort | Bingzhi Sun |
| collection | DOAJ |
| description | We establish novel results on the existence of impulsive problems for fractional differential equations with functional boundary value conditions at resonance with dimKer L=1. Our results are based on the degree theory due to Mawhin, which requires appropriate Banach spaces and suitable projection schemes. |
| format | Article |
| id | doaj-art-0b3fdaa49f2346d38277591bd2a2bce6 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0b3fdaa49f2346d38277591bd2a2bce62025-02-03T06:01:33ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/42086364208636Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at ResonanceBingzhi Sun0Shuqin Zhang1Weihua Jiang2Department of Mathematics, China University of Mining and Technology, Beijing, ChinaDepartment of Mathematics, China University of Mining and Technology, Beijing, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, ChinaWe establish novel results on the existence of impulsive problems for fractional differential equations with functional boundary value conditions at resonance with dimKer L=1. Our results are based on the degree theory due to Mawhin, which requires appropriate Banach spaces and suitable projection schemes.http://dx.doi.org/10.1155/2019/4208636 |
| spellingShingle | Bingzhi Sun Shuqin Zhang Weihua Jiang Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance Journal of Function Spaces |
| title | Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance |
| title_full | Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance |
| title_fullStr | Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance |
| title_full_unstemmed | Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance |
| title_short | Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance |
| title_sort | impulsive problems for fractional differential equations with functional boundary value conditions at resonance |
| url | http://dx.doi.org/10.1155/2019/4208636 |
| work_keys_str_mv | AT bingzhisun impulsiveproblemsforfractionaldifferentialequationswithfunctionalboundaryvalueconditionsatresonance AT shuqinzhang impulsiveproblemsforfractionaldifferentialequationswithfunctionalboundaryvalueconditionsatresonance AT weihuajiang impulsiveproblemsforfractionaldifferentialequationswithfunctionalboundaryvalueconditionsatresonance |