Controllability of retarded semilinear fractional system with non-local conditions

Abstract In this article, sufficient conditions have been obtained for the controllability of retarded semilinear fractional system with non-local conditions using the compactness of the non-linear function. The Nussbaum fixed point theorem combined with the theory of strongly continuous semigroup a...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2018-09, Vol.35 (3), p.689-705
Main Authors: Arora, Urvashi, Sukavanam, N
Format: Article
Language:English
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Summary:Abstract In this article, sufficient conditions have been obtained for the controllability of retarded semilinear fractional system with non-local conditions using the compactness of the non-linear function. The Nussbaum fixed point theorem combined with the theory of strongly continuous semigroup and fractional calculus are the main tools used in this problem. Finally, some examples have been provided to illustrate the application of the obtained results.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnw070