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Complete Controllability of Fractional Impulsive Multivalued Stochastic Partial Integrodifferential Equations with State-Dependent Delay

  • Zuomao Yan EMAIL logo and Fangxia Lu
Published/Copyright: May 9, 2017

Abstract

In this article, we consider a class of fractional impulsive multivalued stochastic partial integrodifferential equations with state-dependent delay in a real separable Hilbert space. Sufficient conditions for the complete controllability of impulsive fractional stochastic evolution systems are established by means of the fixed-point theorem for discontinuous multivalued operators due to Dhage and properties of the α-resolvent operator combined with approximation techniques. Two examples are also given to illustrate the obtained theorem.

MSC 2010: 34A37; 35R60; 60H15; 26A33; 93B05

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Received: 2016-4-1
Accepted: 2017-3-1
Published Online: 2017-5-9
Published in Print: 2017-5-24

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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