Approximate Controllability of Fractional Impulsive Partial Neutral Stochastic Differential Inclusions with State-Dependent Delay and Fractional Sectorial Operators |
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Authors: | Zuomao Yan |
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Affiliation: | 1. Department of Mathematics, Hexi University, Zhangye, P. R. Chinayanzuomao@163.com |
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Abstract: | In this article, the approximate controllability of fractional impulsive partial neutral stochastic differential inclusions with state-dependent delay and fractional sectorial operators in Hilbert spaces is studied. By using the stochastic analysis, the fractional sectorial operators and a fixed point theorem for multi-valued maps combined with approximation techniques, we discuss a new set of su?cient conditions for the approximate controllability of the systems under the mixed Lipschitz and Carathéodory conditions. An example is provided to illustrate the obtained theory. |
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Keywords: | Approximate controllability fixed point theorem fractional impulsive partial neutral stochastic differential inclusions fractional sectorial operators state-dependent delay |
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