Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 256, Issue -, Pages 232-246Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.01.035
Keywords
Approximate controllability; Fixed point theorem; Fractional differential inclusion; Multivalued maps
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Funding
- Council of Scientific and Industrial Research, Extramural Research Division, Pusa, New Delhi, India [25(0217)/13/EMR-II]
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In this paper, we formulate a new set of sufficient conditions for the approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay in Hilbert space. Bohnenblust-Karlin's fixed point theorem, Mainardi's function, fractional calculus and operator semigroups are used to establish the results under the assumption that the corresponding linear system is approximately controllable. In the end, an example is provided to illustrate the applicability of the obtained theoretical results. (C) 2015 Elsevier Inc. All rights reserved.
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