Abstract
This paper deals with the approximate controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space. We delete the compactness condition or Lipschitz condition for nonlocal term appearing in various literatures, and only need to suppose some weak growth condition on the nonlocal term. The discussion is based on the fixed point theorem, diagonal argument and approximation techniques. In the end, an example is presented to illustrate the abstract theory.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11661071
Acknowledgements
The authors gratefully thank the anonymous referees for valuable comments and suggestions for improving the present paper.
Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: The project is funded by the National Natural Science Foundations of China (No. 11661071).
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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