| Autor: |
Gang Wang, Wenbin Liu, Can Ren |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2012, Iss 54,, Pp 1-10 (2012) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In this article, we study the multi-point boundary-value problem of nonlinear fractional differential equation $$displaylines{ D^alpha_{0+}u(t)=f(t,u(t)),quad 10,cr I_{0+}^{2-alpha}u(t)|_{t=0}=0,quad D_{0+}^{alpha-2}u(T)=sum_{i=1}^ma_i I_{0+}^{alpha-1}u(xi_i), }$$ where $D_{0^+}^alpha$ and $I_{0^+}^alpha$ are the standard Riemann-Liouville fractional derivative and fractional integral respectively. Some existence and uniqueness results are obtained by applying some standard fixed point principles. Several examples are given to illustrate the results. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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