Boudjerida, AssiaSeba, Djamila2022-02-172022-02-1720222195268XDOI:10.1007/s40435-021-00887-0https://link.springer.com/article/10.1007/s40435-021-00887-0https://dspace.univ-boumerdes.dz/handle/123456789/7623The controllability of a class of nondensely defined fractional dynamic delay inclusions containing Hilfer fractional derivative, nonlocal conditions, and non-instantaneous impulses in abstract spaces is investigated without compactness assumption. The existence of an integral solution and the controllability for the given problem are established relying on a condensing fixed point theorem of multivalued maps. In support, an example is given to clarify the obtained theoretical outcomesenControllabilityFixed pointFractional derivativeFractional dynamic inclusionsIntegral solutionNon-instantaneous impulsesNondense domainNonlocal conditionsSet-valued operatorArticle