The nonlinear fractional order system with boundary value problem as follows is considered: Da0+u(t) +f(t,u(t) ,u′(t)) =0,t ∈ (0,1). Where u(0) =0,Dβ0+u(l) =aDβ0+ u(ξ). By applying fixed-point theorems, the existence of positive solutions for nonlinear fractional order system is obtained.%研究了分数阶非线性系统Dα0(t)+u(t)+f(t,u(t),u'(t))=0,t∈(0,1),和边值u(0)=0,0,Dβ0+u(1)＝aDβ0+u(ξ)的正解存在性问题.并且根据不动点理论得到其正解的存在性定理.
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