分数阶Langevin方程边值问题解的存在性和唯一性  

Existence and uniqueness of solutions for boundary value problems of fractional Langevin equation

作　　者：王文倩 孙芮 柴建红 周玉群 WANG Wenqian;SUN Rui;CHAI Jianhong;ZHOU Yuqun(College of Mathematics and Physics,Lanzhou Jiaotong University,730070,Lanzhou,Gansu;College of Computer Science,Shangqiu College,476000,Shangqiu,Henan,PRC)

机构地区：[1]兰州交通大学数理学院,甘肃省兰州市730070 [2]商丘学院计算机工程学院,河南省商丘市476000

出　　处：《曲阜师范大学学报（自然科学版）》2020年第1期40-46,共7页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金青年基金(11801243);甘肃省自然科学基金(1508RJZA060)

摘　　要：利用Leray-Schauder不动点定理研究了分数阶Langevin方程边值问题解的存在性和唯一性,得到了解的存在定理.In this paper,the existence and uniqueness of solutions for boundary value problems of fractional Langevin equations are studied by using Leray-Schauder fixed point theorem,Then,the existence theorem of solutions is obtained.

关 键 词：分数阶微分方程 不动点定理 LANGEVIN方程 边值问题 

分 类 号：O175.8[理学—数学]