Exponential stability of second-order fractional stochastic integro-differential equations

被引：3

作者：

Dhanalakshmi, K. ^{[1
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

FILOMAT | 2023年 / 37卷 / 09期

关键词：

Exponential stability; Mild solution; Sub-fBm; Successive approximation method; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; BROWNIAN-MOTION; INFINITE DELAY; EXISTENCE; DRIVEN;

D O I：

10.2298/FIL2309699D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper studies the exponential stability result is derived for the second-order fractional stochastic integro-differential equations (FSIDEs) driven by sub-fractional Brownian motion (sub-fBm). By constructing a successive approximation method, we present p(th) moment exponential stability result of second-order FSIDEs using stochastic analysis techniques and fractional calculus (FC). At last, an example is demonstrated to illustrate the obtained theoretical result.

引用

页码：2699 / 2715

页数：17

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