非线性分数阶微分方程三点边值问题mild解的存在性

Existence of Mild Solutions for Multiple-point Boundary Value Problem of Nonlinear Fractional Differential Equations

研究Banach空间下一类非线性分数阶微分方程边值问题.构建此类方程的Green函数,利用非紧测度、Darbo不动点定理及M onch??不动点定理,得到了此类方程的mild解存在的几个充分条件,所得结果推广了一些已有的结论.

This paper is concerned with class of nonlinear differential equations with boundary value conditions in Banach space. By using the Green＇s functions, theory of noncompactness, Dorbo and Monch fixed point theorem, existence results of mild solutions are obtained, which improve and generalize some previous results.