一类Riemann-Liouville分数阶时滞随机发展方程的Ulam-Hyers稳定性  

Ulam-Hyers Stability for a Class of Riemann-Liouville Fractional Stochastic Evolution Equations with Delay

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

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2023年第3期483-489,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12061062).

摘　　要：用不动点定理研究Hilbert空间中一类含α∈(0,1)阶Riemann-Liouville分数阶导数的时滞随机发展方程温和解的存在唯一性,并证明该解的Ulam-Hyers稳定性.最后举例说明所得结论的适用性.By using the fixed point theorem,we investigated the existence and uniqueness of mild solutions for a class of delay stochastic evolution equations withα∈(0,1)-order Riemann-Liouville fractional derivatives in Hilbert spaces,and proved the Ulam-Hyers stability of the solution.Finally,an example was given to illustrate the applicability of the obtained conclusions.

关 键 词：Riemann-Liouville分数阶导数 随机发展方程 时滞 Ulam-Hyers稳定性 

分 类 号：O175.15[理学—数学]