The Fixed Point Approach to the Stability of Fractional Differential Equations with Causal Operators

被引：0
|
作者：
Jingfei Jiang
Dengqing Cao
Huatao Chen
机构：
[1] Harbin Institute of Technology,Division of Dynamics and Control, School of Astronautics
来源：
Qualitative Theory of Dynamical Systems | 2016年 / 15卷
关键词：
Fractional differential equation; Hyers–Ulam–Rassias stability; Hyers–Ulam stability; Fixed point theorem; Causal operator; 34G20; 34A08; 45N05; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the Hyers–Ulam (HU) stability and Hyers–Ulam–Rassias (HUR) stability of fractional differential equations with causal operators (FDEwCO) are investigated. The techniques rely on a fixed point theorem which is employed to study the HUR stability for FDEwCO on both bounded and unbounded time intervals as well as HU stability on bounded time interval. Finally, two typical examples are given to demonstrate the applications of theoretical results proposed.
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页码：3 / 18
页数：15
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