摘要
利用Schauder不动点定理给出下面非线性分数阶微分方程边值问题D0α+u(t)=f(t,u(t)),0<t<1,u(0)=u(1)=u′(0)=u″(0)=0.正解的存在唯一性,其中3<α4是一个实数,并且D0α+是一个标准的Riemann-Liouville微分。
The existence and uniqueness of positive solution for the boundary-value problem of a nonlinear fractional differential equation
{Dα0＋u（t）=f（t,u（t））,0〈t〉1,
u（0）=u（1）=u′（0）=u″（0）=0.is obtained,where 3〈α≤4 is a real number,and Dα0＋ is a standard Riemann-Liouville differentiation.The proof relies on Schauder fixed point theorem.
基金
新疆维吾尔自治区高校科研计划重点项目(XJEDU2008I35)
