Upper and lower solutions method and a fractional differential equation boundary value problem
Ailing Shi, Beijing University of Civil Engineering and Architecture, Beijing, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 30. (2009), pp. 1-13.
Shuqin Zhang, China University of Mining and Technology, Beijing, P. R. China
| Communicated by M. Benchohra. | Received on 2009-01-24 Appeared on 2009-05-15 |
Abstract: The method of lower and upper solutions for fractional differential equation $D^\delta u(t)+g(t,u(t))=0, t\in (0,1), 1<\delta\leq 2$, with Dirichlet boundary condition $u(0)=a, u(1)=b$ is used to give sufficient conditions for the existence of at least one solution.
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