分数阶微分方程非零边值问题解的存在性

The existence of solutions for nonzero boundary value problem of fractional differential equations

利用压缩映射原理和Krasnoselskii’s不动点定理,在Banach空间下讨论非线性分数阶微分方程非零边值问题D_（0＋）~au（t）=f（t,u（t））。

By using the contraction mapping principle and Krasnoselskii＇s fixed point theorem,we obtain the existence results in a Banach space for nonzero boundary value problem of fractional differential equation D_（0＋）~au（t）=f（t,u（t））,0t1;u（0）= u＇（0）,u（1）=βu（η）,Where 1α≤2 is a real number,and D_（0＋）~a is a Caputo′s differentiation.