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Abstract
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.
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Details
1 Northwest Normal University, Department of Mathematics, Lanzhou, China (GRID:grid.412260.3) (ISNI:0000 0004 1760 1427); Tianshui Normal University, Department of Mathematics, Tianshui, China (GRID:grid.464480.a) (ISNI:0000 0000 8586 7420)
2 Northwest Normal University, Department of Mathematics, Lanzhou, China (GRID:grid.412260.3) (ISNI:0000 0004 1760 1427)