Banach空间分数阶微分方程边值问题解的存在性Existence of Solutions for Boundary Value Problems of Fractional Differential Equation in Banach Spaces
梁秋燕
摘要(Abstract)：
考虑Banach空间E中分数阶微分方程边值问题{-Dβ0+u(t)=f(t,u(t)),t∈Ju(0)=u(1)={θ解的存在性,其中1<β≤2为实数,J=[0,1],Dβ0+是标准的Riemann-Liouville导数,f:J×E→E连续.用新的非紧性测度估计技巧,在f满足比较一般的增长条件和非紧性测度条件下通过凝聚映射的不动点定理获得了该边值问题解的存在性.
关键词(KeyWords)： 分数阶微分方程;凝聚映射;不动点定理;非紧性测度;边值问题
基金项目(Foundation): 国家自然科学基金资助项目,编号11261053;; 甘肃省自然科学基金资助项目,编号:1208RJZA129
作者(Author): 梁秋燕
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