一类Riemann-Liouville分数阶时滞发展方程解的存在性  

Existence of solutions for a class of Riemann-Liouvillefractional evolution equations with delay

作　　者：杨和 白玉洁 YANG He;BAI Yu-jie(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2023年第4期9-15,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11701457)。

摘　　要：利用上下解单调迭代方法讨论了有序Banach空间中一类含Riemann-Liouville分数阶导数的时滞发展方程mild解的存在性,并通过一个具体的例子验证了抽象结论.The existence of mild solutions is discussed for a class of delayed evolution equations with Riemann-Liouville fractional derivatives in an ordered Banach space by using a monotone iterative method in the presence of lower and upper solutions.An example is given to illustrate the obtained abstract conclusions.

关 键 词：Riemann-Liouville分数阶导数 上下解 单调迭代技巧 时滞 加权函数 

分 类 号：O175.15[理学—数学]