讨论具有非瞬时脉冲半线性分数阶微分方程:{cDqou(t)=λu(t)+f(t,u(t),(Ku)(t),(Hu)(t)),t∈(si,ti+1],i=0,1,…,m,u(t)=gi(t,u(t)).u'(t)=h,(t,u(t)),t∈(ti,si],i=l,…,m,au'(0)-bu(T)=I,(u),cu'(T)+du(0)=I2(u)边值问题解的存在性和惟一性.基于Banach不动点定理和Krasnosellskii不动点定理,得到了边值问题解的存在性和唯一性,并且给出两个例子验证主要结果.%The paper discussed the existence and uniqueness of solution to boundary value problem of semi-linear fractional differential equations with non-instantaneous impulses:{cDqou(t)=λu(t)+f(t,u(t),(Ku)(t),(Hu)(t)),t∈(si,ti+1],i=0,1,…,m,u(t)=gi(t,u(t)).u'(t)=h,(t,u(t)),t∈(ti,si],i=l,…,m,au'(0)-bu(T)=I,(u),cu'(T)+du(0)=I2(u)Based on the Banach fixed point theorem and Krasnosellskii's fixed point theorem, the paper obtained existence and uniqueness of solution of boundary value problem. Besides, two examples are presented to illustrate the main results.
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