一类分数阶积分边值问题非平凡解的存在唯一性

Existence and Uniqueness of Nontrivial Solutions for Fractional Differential Equation with Integral Boundary Conditions

利用混合单调算子的不动点定理研究了P h,e集合上一类分数阶积分边值问题获得非平凡解的存在性与唯一性结论,并构造了迭代序列来逼近唯一解.最后给出一个实例说明结论的正确性.

By using the mixed point theorem of mixed monotone operators on the set P h,e,the existence and uniqueness of nontrivial solutions for fractional differential equation with integral boundary conditions is studied.Also,constructing iterative sequence to approximate the solutions.At last,the conclusion with a concrete example was showed.