带有R-S积分边值条件的分数阶朗之万方程的解的存在性  

Existence of solutions for fractional-order Langevin equations with R-S integral boundary conditions

作　　者：王西丽 周宗福[1] Wang Xili;Zhou Zongfu(School of Mathematical Sciences, Anhui University, Hefei 230601, China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《纯粹数学与应用数学》2017年第5期486-495,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(11371027);安徽省自然科学基金(1608085MA12)

摘　　要：研究一类带有R-S积分边值条件的非线性分数阶朗之万方程边值问题.利用Leray-Schauder非线性抉择和Leray-Schauder度理论,得到几个新的存在性结果.最后给出一个例子来证明主要结论的应用性.In this paper,we investigate a class of boundary value problems of fractional-order Lengevinl equations with R-S Integral boundary conditions.By Leray-Schauder′s nonlinear alternative and Leray-Schauder degree theory,several new existence results of solutions are obtained.An example is given to show the applicability of our main results.

关 键 词：分数阶朗之万方程 积分边值条件 LERAY-SCHAUDER度理论 LERAY-SCHAUDER非线性抉择 

分 类 号：O175.8[理学—数学]