4.7 Article

New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2018.12.001

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Funding

  1. AEI of Spain [MTM2016-75140-P]
  2. European Community fund FEDER
  3. XUNTA de Galicia [GRC2015-004, R2016/022]

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This article deals with the use of Krasnoselskii's fixed point theorem and Leray-Schauder alternative theorem combined with resolvent operator and some analytical methods to investigate the exact controllability and continuous dependence of a class of neutral fractional integro-differential systems with state-dependent delay in Banach spaces. An application to exemplify the concept is provided at the end. (C) 2018 Published by Elsevier Ltd on behalf of The Franklin Institute.

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