带有积分边值条件的奇异分数阶微分方程正解的存在性  

Existence of Positive Solutions for Singular Fractional Differential Equations with Integral Boundary Value Conditions

作　　者：廖秀 LIAO Xiu(Institute of Information Technology,Guilin University of Electronic Technology,Guilin Guangxi 541004,China)

机构地区：[1]桂林信息科技学院数学教研部,广西桂林541004

出　　处：《海南热带海洋学院学报》2021年第5期56-65,共10页Journal of Hainan Tropical Ocean University

基　　金：广西高校中青年教师科研基础能力提升项目(2019KY1037;2021KY1595)。

摘　　要：利用序列化与正则化的技巧,结合锥压缩-锥拉伸不动点定理证明了一类带有积分边值条件的奇异分数阶微分方程边值问题正解的存在性。分数阶积分边值问题已有很多实际应用,例如建立耦合的电路模型、AIDS模型等。By using the techniques of serialization and regularization and by combining with the fixed point theorem of cone compression and cone expansion,the existence of positive solutions for a class of singular fractional differential equations with integral boundary value was proved.Fractional integral boundary value problem has many practical applications,such as the establishment of coupled circuit model,AIDS model,etc.

关 键 词：积分边值条件 奇异分数阶微分方程 边值问题 锥压缩-锥拉伸不动点定理 正解 

分 类 号：O175.1[理学—数学]