CONTROLLABILITY OF HILFER TYPE FRACTIONAL EVOLUTION NEUTRAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH NON-INSTANTANEOUS IMPULSES

In this manuscript the controllability of Hilfer fractional neutral differential inclusions with non-instantaneous impulse in Banach space is investigated by using semi-group theory, fractional calculus, upper semi-continuous (u.s.c), multi-functions and Monch fixed point theorem. Sufficient conditions are derived by using Hausdorff measure of non-compactness (MNC). Further, the obtained result is illustrated by an example.

Automated summary

This manuscript investigates the controllability of Hilfer fractional neutral differential inclusions with non-instantaneous impulse in Banach space using semi-group theory, fractional calculus, upper semi-continuous (u.s.c), multi-functions, and Monch fixed point theorem. Sufficient conditions are derived using the Hausdorff measure of non-compactness (MNC). Furthermore, the obtained result is illustrated through an example.