一类分数阶无穷点边值问题解的存在性和唯一性  

The Existence and Uniqueness of Solutions for a Class of Fractional Infinite-Point Boundary Value Problems

作　　者：武瑜 王文霞[1] WU Yu;WANG Wenxia(Department of Mathematics,Taiyuan Normal University,Jinzhong 030619,China)

机构地区：[1]太原师范学院数学系,山西晋中030619

出　　处：《太原师范学院学报（自然科学版）》2022年第1期11-17,共7页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：国家自然科学基金(11361047)。

摘　　要：文章研究了一类高阶非线性分数阶无穷点边值问题,给出了格林函数的性质,利用不动点定理,得到了该边值问题解的存在性和唯一性的充分条件,并给出两个具体的例子验证所得结论.This paper is concerned with a class of high-order nonlinear fractional infinite-point boundary value problems,gives the properties of Green’s function,uses the fixed point theorem,obtains sufficient conditions for the existence and uniqueness of solutions to the boundary value problem.In addition,some examples are given to illustrate theoretical results.

关 键 词：Riemann-Liouville分数阶导数 边值问题 不动点 

分 类 号：O175.8[理学—数学]