Controllability of coupled systems for impulsive phi-Hilfer fractional integro-differential inclusions

This paper studies the controllability of a coupled system for a class of impulsive fractional integro-differential inclusions involving phi-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 results.