Controllability of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay via resolvent operator

Journal of Nonlinear Sciences and Applications Pub Date : 2022-01-06 DOI:10.22436/jnsa.015.03.01

D. Chalishajar, K. Ramkumar, A. Anguraj, K. Ravikumar, M. Diop

引用次数: 9

Abstract

This paper is concerned with the controllability results of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay in a real separable Hilbert space. The controllability results are obtained using stochastic analysis, the theory of resolvent operator in the sense of Grimmer and Krasnoselskii fixed point theorem. An example is provided to illustrate the obtained theory.

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无穷大时滞分数布朗运动驱动中立型脉冲随机泛函积分微分方程的可控制性

本文研究了在实数可分Hilbert空间中由无限时滞分数布朗运动驱动的中立型脉冲随机泛函积分微分方程的可控性结果。利用随机分析、Grimmer意义上的解算算子理论和Krasnoselskii不动点定理，得到了系统的可控性结果。给出了一个例子来说明所得到的理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.