一类无穷区间上分数阶非局部边值问题正解的唯一性  

Uniqueness of Positive Solutious for Nonlocal Boundary Valne Problems of Fractioual Order in Infinite Interval

作　　者：廖秀 韦煜明 冯春华 LIAO Xiu;WEI Yu-ming;FENG Chun-hua(College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541004, China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541004

出　　处：《海南热带海洋学院学报》2018年第2期44-48,共5页Journal of Hainan Tropical Ocean University

基　　金：国家自然科学基金项目(11361010);广西自然科学基金项目(2014GXNSFAAll8002);2017广西研究生教育创新计划项目(YCSW2017080)

摘　　要：研究了一类无穷区间上非线性项含有导数项的分数阶微分方程非局部边值问题的可解性.根据G(t,s)的相关性质及条件,运用和算子不动点定理,证明了该边值问题有唯一正解.The solubility of non-local boundal-y value problem in a class of non-linear terms in the infinite in-terval was studied. According to the G （t, s） related properties and conditions, by using the fixed point theorem ofa sum cperator, it was proved that the boundary value problem has one unique solution.

关 键 词：分数阶微分方程 无穷区间 边值问题 不动点定理 正解 

分 类 号：O175.1[理学—数学]