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中文摘要：
利用Mawhin的连续性定理及迭合度理论,讨论了共振条件下分数阶微分方程cDβ0＋α（t）cDα0＋x（t）=f（t,x（t）,cDβ0＋α（t）,cDα0＋x（t））,t∈[0,1] cDα0＋x（0）=0,x（1）=sum from m to i=1 aix（ζi）多点边值问题解的存在性,得到解存在的充分条件,推广了整数阶微分方程共振问题已有的结果.
英文摘要：
This paper discusses the existence of solutions for fractional muti-point boundary value problems at resonance cDβ0＋α（t）cDα0＋x（t）=f（t,x（t）,cDβ0＋α（t）,cDα0＋x（t））,t∈[0,1] cDα0＋x（0）=0,x（1）=sum from m to i=1 aix（ζi） by using Mawhin’s continuous theorem and coincidence degree theory and the sufficient conditions for the boundary value problems is obtained,generalizing known results about integral differential equation at resonance.
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