Approximate controllability of a fractional stochastic partial integro-differential systems via noncompact operators |
| |
Authors: | Zuomao Yan Li Han |
| |
Affiliation: | Department of Mathematics, Hexi University, Zhangye, Gansu, P.R. China |
| |
Abstract: | Objective: in this article, we discuss the approximate controllability problems of a new class of fractional impulsive stochastic partial integro-differential systems in separable Hilbert spaces. Methods: by applying the fractional calculus, the measure of noncompactness, properties of fractional resolvent operators and fixed point theorems. Results: we prove our main results without the hypotheses of compactness on the operator generated by the linear part of systems. Instead we suppose that the nonlinear term only satisfies a weakly compactness condition. Conclusion: the approximate controllability for the control systems with noncompact operators is established. Finally, an example is given for the illustration of the obtained theoretical results. |
| |
Keywords: | Approximate controllability fractional impulsive stochastic partial integro-differential systems measure of noncompactness fractional resolvent operators fixed point |
|
|