分数阶微分方程积分边值问题上下解方法  

Methods of Upper and Lower Solution for Integral Boundary Value Problems of Fractional Differential Equations

作　　者：骆泽宇 刘锡平[1] 姚楠 蹇星月 郭莉莉 LUO Zeyu;LIU Xiping;YAO Nan;JIAN Xingyue;GUO Lili(College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《应用泛函分析学报》2018年第4期344-353,共10页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11171220)

摘　　要：研究了一类带积分边值条件的Riemann-Liouville型分数阶微分方程边值问题.在只要求非线性项满足Li-Carathéodory条件的情况下,运用单调迭代方法和上下解方法建立并证明了边值问题正解的存在性定理,最后给出例子用以表明所得结论的适用性.A class of boundary value problems of Riemann-Liouville type fractional differential equation with integral boundary value conditions is studied. The existence theorem for positive solutions of the boundary value problems is established and proved by monotone iterative method of upper and lower solution method under the condition that the nonlinear term satisfies L1-Caratheodory condition. Finally, an example is given to show the applicability of the main results.

关 键 词：分数阶微分方程 边值问题 正解 上下解方法 

分 类 号：O175.8[理学—数学]