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Title: Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control
Author: Guechi, Sarra
Debbouche, Amar
Torres, Delfim F. M.
Keywords: Fractional nonlinear equations
Approximate controllability
Q-resolvent families
Optimal control
Nonlocal and impulsive conditions
Issue Date: 2-Apr-2018
Publisher: University of Miskolc
Abstract: We establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractional calculus, sectorial operators and Krasnoselskii fixed point theorems for the main results. Approximate controllability results are discussed with respect to the inhomogeneous non-linear part. Moreover, we prove existence results of optimal pairs of corresponding fractional control systems with a Bolza cost functional.
Peer review: yes
DOI: 10.18514/MMN.2018.2486
ISSN: 1787-2405
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Appears in Collections:CIDMA - Artigos
SCG - Artigos

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