无穷区间上m-点分数阶边值问题解的存在性  

Existence of Solutions for Am-point Fractional Boundary Value Problem on an Infinite Interval

作　　者：景冰清 JING Bingqing(Shanxi Vocational University of Engineering Science and Technology,Taiyuan 030031,China)

机构地区：[1]山西工程科技职业大学,山西太原030031

出　　处：《太原师范学院学报（自然科学版）》2022年第3期8-11,26,共5页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：山西省自然科学基金资助项目(2013011003-3).

摘　　要：利用一个新的不动点定理及格林函数的性质,研究了一类无穷区间上m-点分数阶边值问题.通过先定义函数空间中的锥和算子,获得了算子不动点的存在唯一性,进而给出了这类分数阶边值问题解的存在唯一性,并举例验证了结果.By using a new fixed point theorem and the properties of Green s function,a class of m-point fractional boundary value problem on an infinite intervals was studied.First by defining a cone and a operator in the function spaces,the existence and uniqueness of the fixed points of the operator was obtained.Further,the existence and uniqueness of the solutions to this boundary value problem was established,and the results were verified by an example.

关 键 词：m-点分数阶边值问题 无穷区间 不动点定理 解的存在性 唯一性 

分 类 号：O177.91[理学—数学]