Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps

Abstract The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space. Nonlocal initial condition is a generalization of the classical initial condition and is motivated by phys...

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Bibliographic Details
Main Authors: A. Anguraj, K. Ravikumar, Dumitru Baleanu
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-019-2461-1
Description
Summary:Abstract The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space. Nonlocal initial condition is a generalization of the classical initial condition and is motivated by physical phenomena. The results are obtained by using Sadovskii’s fixed point theorem. Finally, an example is provided to illustrate the effectiveness of the obtained result.
ISSN:1687-1847