一类分数阶微分方程在集合Ph,e上解的存在唯一性  

Existence and Uniqueness of Solution for Fractional Differential Equations in Set P

作　　者：刘宏伟 LIU Hongwei(Department of Mathematics,Taiyuan University,Taiyuan 030001,China)

机构地区：[1]太原学院数学系,山西太原030001

出　　处：《山西大学学报（自然科学版）》2021年第2期210-219,共10页Journal of Shanxi University(Natural Science Edition)

摘　　要：研究一类分数阶微分方程边值问题,利用集合Ph,e上新的不动点定理给出了这类边值问题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。最后以一个分数阶三点边值问题为例,证明了结论的正确性。This paper considers a class of boundary value problem of fractional differential equation.By using a new fixed point theorem in set Ph,e, the existence and uniqueness results of the solution are obtained.Also, the iterative sequences are successively constructed to approximate the unique solution.Morever, we take a fractional boundary value problem as an example to illustrate our results.

关 键 词：分数阶微分方程 集合Ph e 存在唯一性 混合单调算子 

分 类 号：O175[理学—数学]