带分布时滞分数阶微分方程正解的存在性  

Existence of Positive Solution for Fractional Differential Equations with Distributed Delays

作　　者：赵玉萍[1] ZHAO Yuping(College of Mathematics and Statistics,Qinghai Minzu University,Xining 810007,Qinghai,China)

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《江汉大学学报（自然科学版）》2024年第6期23-28,共6页Journal of Jianghan University：Natural Science Edition

基　　金：国家自然科学基金项目(12161071);青海省科技厅项目(2023-ZJ-949Q)。

摘　　要：利用Banach压缩映像原理及一些分析技巧,研究了一类具有分布时滞分数阶微分方程正解的存在性,得到了方程正解存在的充分条件,并通过举例验证了定理的有效性。The existence of a positive solution of the fractional differential equations with distributed delays was studied using the Banach contraction principle and some necessary analytic techniques.A sufficient condition for a positive solution of the equations was obtained.An example was provided to illustrate the effectiveness of the theorem.

关 键 词：Banach压缩映像原理 正解 分数阶微分方程 分布时滞 Liouville导数 

分 类 号：O175.7[理学—数学]