A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay

被引：5
作者：
Li, Man [1 ]
Niu, Yujun [1 ]
Zou, Jing [2 ]
机构：
[1] Nanyang Inst Technol, Sch Math & Phys, Nanyang 473004, Peoples R China
[2] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 08期
关键词：
stochastic differential equations; fractional calculus; delay; existence and uniqueness; finite-time stability; EXISTENCE; SYSTEMS;
D O I：
10.3390/fractalfract7080622
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Hilfer fractional stochastic differential equations with delay are discussed in this paper. Firstly, the solutions to the corresponding equations are given using the Laplace transformation and its inverse. Afterwards, the Picard iteration technique and the contradiction method are brought up to demonstrate the existence and uniqueness of understanding, respectively. Further, finite-time stability is obtained using the generalized Gronwall-Bellman inequality. As verification, an example is provided to support the theoretical results.
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页数：16
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