Approximate controllability of impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces
2018 ◽
Vol 36
(2)
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pp. 603-622
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Keyword(s):
Abstract In this paper, the problem of approximate controllability for non-linear impulsive fractional integro-differential equation with state-dependent delay in Hilbert spaces is investigated. We study the approximate controllability for non-linear impulsive integro-differential systems under the assumption that the corresponding linear control system is approximately controllable. By utilizing the methods of fractional calculus, semigroup theory, fixed-point theorem coupled with solution operator, sufficient conditions are formulated and proved. Finally, an example is provided to illustrate the proposed theory.
2016 ◽
Vol 21
(6)
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pp. 751-769
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2017 ◽
Vol 155
(1)
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pp. 57-84
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Vol 11
(1)
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2012 ◽
Vol 30
(4)
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pp. 443-462
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2014 ◽
Vol 2014
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pp. 1-12
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2015 ◽
Vol 266
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pp. 54-69
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2013 ◽
Vol 11
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pp. 351-358
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