期刊
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
卷 -, 期 -, 页码 -出版社
SPRINGERNATURE
DOI: 10.1007/s13540-022-00122-3
关键词
Delay differential equations; Mittag-Leffler type functions; Fractional ordinary differential equations; Hyers-Ulam stability
资金
- National Natural Science Foundation of China
- Graduate Research and Innovation Projects of Jiangsu Province
- [11871064]
- [11571300]
- [KYCX22_3449]
This paper discusses the exact solutions of linear homogeneous and nonhomogeneous fractional differential equations with double delays. A new concept of double-delayed Mittag-Leffler type matrix function is introduced, and it is applied along with Laplace transform approach to obtain the exact solutions. The solutions are also used to investigate the Hyers-Ulam stability of the system, and an example is provided to illustrate the techniques.
In this paper, we discuss the exact solutions of linear homogeneous and nonhomogeneous fractional differential equations with double delays. Firstly, a new concept of double-delayed Mittag-Leffler type matrix function is introduced, which is the promotion of the double-delayed matrix exponential. Secondly, we apply the double-delayed Mittag-Leffler type matrix function and Laplace transform approach to obtain the exact solutions of fractional differential equations with double delays. Furthermore, the solution is used to investigate the Hyers-Ulam stability of the system. Lastly, we illustrate our techniques by an example.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据