Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators-Reference-Cited by-同舟云学术

Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators

Published:2020-09-25 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Yan Zuomao¹,Zhou Yong-Hui¹

Affiliation:

1. Department of Mathematics , Hexi University , Zhangye , Gansu 734000, PR China

Abstract

Abstract In this paper, we consider the optimization problems of exact controllability for a new class of fractional impulsive partial stochastic differential systems with state-dependent delay in Hilbert spaces. By utilizing suitable fixed point approach without imposing severe compactness condition on the operators, the theory of analytic sectorial operators, stochastic analysis, and the Hausdorff measure of noncompactness, some sufficient conditions are derived for achieving the required results. Finally, an example is provided to illustrate the obtained theory.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0168/pdf

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