Existence and Ulam stability for random fractional integro-differential equation

被引：0
|
作者：
Le Si Dong
Ngo Van Hoa
Ho Vu
机构：
[1] Banking University of Ho Chi Minh City,Faculty of Mathematical Economics
[2] Ton Duc Thang University,Division of Computational Mathematics and Engineering, Institute for Computational Science
[3] Ton Duc Thang University,Faculty of Mathematics and Statistics
来源：
Afrika Matematika | 2020年 / 31卷
关键词：
Random fractional differential equation; Second-order stochastic processes; Mean square continuous solution; 34A12; 34A30; 34D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence and uniqueness of solution for random fractional integro-differential equation. The existence of at least mean square continuous solution for this problem is discussed. Using the fixed point theorem, Ulam–Hyers stability and Ulam–Hyers–Rassias stability of random fractional integro-differential equation are studied. Finally, we give an example to illustrate our results.
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页码：1283 / 1294
页数：11
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