Controllability in the α-norm of some impulsive differential equation with infinite delay in Banach spaces

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Résumé

n this work, sufficient conditions for the controllability in the -norm of impulsive systems
with nonlocal conditions with infinite delay are established. We assume that the linear part generates a
compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with
respect to the fractional power of the generator. The results are obtained by using the Schauder fixed
point theorem.

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