Upper and lower solutions method and a fractional differential equation boundary value problem

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.

Bibliographic Details
Main Authors: Ailing Shi, Shuqin Zhang
Format: Article
Language:English
Published: University of Szeged 2009-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=383