Stability Results on Mild Solution of Impulsive Neutral Fractional Stochastic Integro-Differential Equations Involving Poisson Jumps

被引：3

作者：

Chadha, Alka ^{[1
]}

Bora, Swaroop Nandan ^{[2
]}

机构：

[1] Indian Inst Informat Technol Raichur, Dept Math, Raichur 584135, India

[2] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India

来源：

FILOMAT | 2021年 / 35卷 / 10期

关键词：

Asymptotic stability; Impulsive conditions; Fixed point theorem; Stochastic integro-differential equations; Solution operator; PARTIAL-DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; APPROXIMATE CONTROLLABILITY; EXPONENTIAL STABILITY; EVOLUTION EQUATIONS; EXISTENCE;

D O I：

10.2298/FIL2110383C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work studies the existence and the p-th moment asymptotic stability of the mild solution of some neutral fractional stochastic integro-differential equations involving non-instantaneous impulses and Poisson jumps. Sufficient conditions proving existence and asymptotic stability of solutions are obtained utilizing stochastic analysis, resolvent operator and Krasnoselskii-Schaefer type fixed point theorem.

引用

页码：3383 / 3406

页数：24

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