具有逐项分数阶导数的微分方程边值问题解的存在性

Existence of solutions for boundary value problem of fractional differential equations involving sequential fractional derivative

研究了一类具有逐项分数阶导数的微分方程边值问题.对参数的各种取值情况进行了全面的分析,运用Banach压缩映射原理和Schauder不动点定理,得到并证明了边值问题解的存在性定理.最后,给出了两个例子来证明结论有效.

This paper investigates the existence of solutions for boundary value problem of fractional differential equations involving sequential fractional derivative. To analyze comprehensively the parameters and by using Banach contraction mapping principle and Schauder fixed point theorem, some new results on the existence of solution for the boundary value problem are obtained. Finally, we give two examples to illustrate our results.