Exponential behavior of neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process-Reference-Cited by-同舟云学术

Exponential behavior of neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process

Published:2020-01-01 Issue:1 Volume:7 Page:1-21
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Kasinathan Ravikumar¹,Kasinathan Ramkumar¹,Hamit Mahamat Hassan Mahamat²,Diop Mamadou Abdoul²

Affiliation:

1. Department of Mathematics , PSG College of Arts and Science , Coimbatore , 641014 , India

2. Université Gaston Berger de Saint-Louis , UFR SAT, Département de Mathématiques , B.P234 Saint-Louis Sénégal

Abstract

Abstract In this article, we are concerned with the neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process. By using resolvent operator and some analysis techniques, we ensure existence and uniqueness of solutions. Further, we investigate exponential stability of mild solutions. We have also given an example to illustrate our theoretical results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2020-0001/pdf

Reference37 articles.

1. [1] P. Abry, V. Pipiras, Wavelet-based synthesis of the Rosenblatt process. Signal Processing. 86(2006), 2326-2339.

2. [2] H. M. Ahmed, Fractional neutral evolution equations with nonlocal conditions. Advances in Difference Equations. (2013), 2013-117.

3. [3] H. M. Ahmed, M. M. El-Borai, Hilfer fractional stochastic integro-differential equations. Applied Mathematics and Computation. 331(2018), 182-189.

4. [4] P. Ali, K. Shah, F. Jarad, V. Gupta, T. Abdeljawad, Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations. Advances in Difference Equations. (2019), 1-21.

5. [5] G. Arthi, K. Balachandran, Controllability of damped second-order neutral functional differential systems withimpulses. Taiwanese Journal of Mathematics. 16(2012), 89-106.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators;Cubo (Temuco);2023-12-30

2. Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process;Fixed Point Theory and Algorithms for Sciences and Engineering;2023-05-15

3. Exponential stability of delayed neutral impulsive stochastic integro-differential systems perturbed by fractional Brownian motion and Poisson jumps;Filomat;2023