无穷区间上分数阶微分方程m-点边值问题的正解  

Positive Solutions of m-Point Boundary Value Problems for Fractional Differential Equations on Infinite Intervals

作　　者：王威璇 翟成波[1] WANG Weixuan;ZHAI Chengbo(School of Mathematical Sciences,Shanxi University,T aiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,太原030006

出　　处：《吉林大学学报（理学版）》2018年第6期1315-1323,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金青年科学基金(批准号:11201272);山西省自然科学基金(批准号:2015011005);山西省留学基金(批准号:2016-009)

摘　　要：利用半序Banach空间中两个算子之和的不动点定理,证明一类无穷区间上分数阶微分方程m-点边值问题正解的存在唯一性,并通过实例给出其应用.Using some fixed point theorems of sum of two operators in semi-ordered Banach spaces,we provedthe existence and uniqueness of positive solutions of the m-point boundary value problem for a class of fractional differential equations on an infiniteinterval and gave their applications by examples.

关 键 词：分数阶微分方程 正解 无穷区间 存在性与唯一性 和算子 

分 类 号：O177.91[理学—数学]