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

The Journal of Nonlinear Sciences and its Applications

article

D. Chalishajar¹  K. Ramkumar²  A. Anguraj²  K. Ravikumar²  M. A. Diop³ 

[1] Department of Mathematics, Computer science, Mallory Hall, Virginia Military Institute;Department of Mathematics, PSG College of Arts, Science;Departement de Mathematiques, Universite Geston Berger de Sanit-Louis

关键词: Controllability;    impulsive systems;    fractional Brownian motion;    neutral functional integrodifferential equations;    resolvent operator;    infinite delay;   

DOI  :  10.22436/jnsa.015.03.01

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

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.

【 授权许可】

Unknown