Finite-approximate controllability of fractional stochastic evolution equations with nonlocal conditions

Journal of inequalities and applications

article

Yonghong Ding¹  Yongxiang Li¹ 

[1] Department of Mathematics, Northwest Normal University;Department of Mathematics, Tianshui Normal University

关键词: Nonlocal problem;    Semigroups;    Finite-approximate controllability;    Stochastic evolution equations;   

DOI  :  10.1186/s13660-020-02354-4

学科分类：电力

来源: SpringerOpen

【 摘 要 】

This paper deals with the finite-approximate controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space. We establish sufficient conditions for the finite-approximate controllability of the control system when the compactness conditions or Lipschitz conditions for the nonlocal term and uniform boundedness conditions for the nonlinear term are not required. The discussion is based on the fixed point theorem, approximation techniques and diagonal argument. In the end, an example is presented to illustrate the abstract theory. Our result improves and extends some relevant results in this area.

【 授权许可】

CC BY