Boudjerida, AssiaSeba, DjamilaN'Guérékata, G. M.2021-01-132021-01-1320201563-504Xhttps://doi.org/10.1080/00036811.2020.1742884https://www.tandfonline.com/doi/full/10.1080/00036811.2020.1742884https://dspace.univ-boumerdes.dz/handle/123456789/6123This paper studies the controllability of a coupled system for a class of impulsive fractional integro-differential inclusions involving φ-Hilfer fractional derivative and subject to coupled nonlocal integral initial conditions in the case of convex set-valued maps. Some auxiliary conditions are introduced in order to apply a fixed point theorem due to Bohnenblust–Karlin. An illustrative example is provided to exemplify our theoretical resultsencoupled systemintegro-differential inclusionsfixed point theoremArticle