Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses
We investigate the existence of mild solutions for fractional order differential equations with integral boundary conditions and not instantaneous impulses. By some fixed-point theorems, we establish sufficient conditions for the existence and uniqueness of solutions. Finally, two interesting exampl...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/954925 |
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| _version_ | 1850222012484550656 |
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| author | Peiluan Li Changjin Xu |
| author_facet | Peiluan Li Changjin Xu |
| author_sort | Peiluan Li |
| collection | DOAJ |
| description | We investigate the existence of mild solutions for fractional order differential equations with integral boundary conditions and not instantaneous impulses. By some fixed-point theorems, we establish sufficient conditions for the existence and uniqueness of solutions. Finally, two interesting examples are given to illustrate our theory results. |
| format | Article |
| id | doaj-art-6e1fe424807e4c0c84d8f7b459ab93cc |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6e1fe424807e4c0c84d8f7b459ab93cc2025-08-20T02:06:30ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/954925954925Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous ImpulsesPeiluan Li0Changjin Xu1Department of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, ChinaGuizhou Key Laboratory of Economics System Simulation, Guizhou College of Finance and Economics, Guiyang 550004, ChinaWe investigate the existence of mild solutions for fractional order differential equations with integral boundary conditions and not instantaneous impulses. By some fixed-point theorems, we establish sufficient conditions for the existence and uniqueness of solutions. Finally, two interesting examples are given to illustrate our theory results.http://dx.doi.org/10.1155/2015/954925 |
| spellingShingle | Peiluan Li Changjin Xu Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses Journal of Function Spaces |
| title | Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses |
| title_full | Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses |
| title_fullStr | Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses |
| title_full_unstemmed | Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses |
| title_short | Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses |
| title_sort | boundary value problems of fractional order differential equation with integral boundary conditions and not instantaneous impulses |
| url | http://dx.doi.org/10.1155/2015/954925 |
| work_keys_str_mv | AT peiluanli boundaryvalueproblemsoffractionalorderdifferentialequationwithintegralboundaryconditionsandnotinstantaneousimpulses AT changjinxu boundaryvalueproblemsoffractionalorderdifferentialequationwithintegralboundaryconditionsandnotinstantaneousimpulses |