中文摘要：

考虑有序Banach空间E中Riemann-Liouville分数阶微分方程-D0^a＋u（t）=f（t,u（t））的两点边值问题正解的存在性，其中1〈α≤2是实数，f：[0,1]×→连续．在较一般的非紧性测度条件下应用凝聚映射的不动点指数理论获得了该边值问题正解的存在性结果．

英文摘要：

In this paper,we consider the postive solutions for boundary value problems of the Riemann-Liouville fractional differential equation --D0^a＋ u（t）=f（t,u（t）） in an ordered Banach space E,where 1〈a≤2 is real number, f： [0,1] X E→E is continuous. Under more general conditions of noncompactness measure,the positive solutions are obtained by using the fixed point index theorem of condensing mapping.