Ulam-Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations

被引：3
|
作者：
Dhanalakshmi, K. [1 ]
Balasubramaniam, P. [1 ]
机构：
[1] Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 04期
关键词：
MILD SOLUTIONS; EXISTENCE;
D O I：
10.1063/5.0088040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, sufficient conditions are established for the Ulam-Hyers stability of second-order non-instantaneous impulsive fractional neutral stochastic differential equations (NIIFNSDEs) with supremum norm in the pth means square sense. The existence of solution of NIIFNSDEs is derived by using the cosine family of linear operator, Ito's formula, and Mo''nch fixed point theorem in infinite-dimensional space. Finally, an example is demonstrated to illustrate the obtained theoretical results.
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页数：22
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