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Approximate Controllability Results for Fractional Semilinear Integro-Differential Inclusions in Hilbert Spaces
N.I. Mahmudov, R. Murugesu, C. Ravichandran,
Published in Birkhauser Verlag AG
2017
Volume: 71
   
Issue: 1-2
Pages: 45 - 61
Abstract
In this paper, we consider a class of fractional integro-differential inclusions in Hilbert spaces. This paper deals with the approximate controllability for a class of fractional integro-differential control systems. First, we establishes a set of sufficient conditions for the approximate controllability for a class of fractional semilinear integro-differential inclusions in Hilbert spaces. We use Bohnenblust–Karlin’s fixed point theorem to prove our main result. Further, we extend the result to study the approximate controllability concept with nonlocal conditions. An example is also given to illustrate our main result. © 2016, Springer International Publishing.
About the journal
JournalResults in Mathematics
PublisherBirkhauser Verlag AG
ISSN14226383