带积分边值条件的分数阶微分方程解的存在性和唯一性  

Existence and Uniqueness of Solutions of the Fractional Differential Equation with Integral Boundary Value Conditions

作　　者：刘帅[1] 贾梅[1] 秦小娜[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2014年第5期409-415,442,共8页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(11171220);上海市教委科研创新基金重点资助项目(10ZZ93)

摘　　要：研究了一类带积分边值条件的分数阶微分方程边值问题解的存在性和唯一性,并利用Schauder不动点定理以及压缩映像原理,得到了边值问题解的存在性及唯一性结论.The existence and uniqueness of solutions were studied for a class of fractional differential equations with integral boundary value conditions.The conclusions about the existence and uniqueness of solutions were obtained by using the Schauder fixed point theorem and the Banach contraction principle.

关 键 词：积分边值条件 不动点定理 存在性和唯一性 

分 类 号：O175.8[理学—数学]