IMPULSIVE FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS IN BANACH SPACES

In this paper, we study the existence of a mild solution of the nonlocal neutral fractional integrodifferential equations with impulsive conditions by using the probability density function. We obtain various criteria on the existence of mild solutions by using the semigroup theory and Sadovskii’s fixed point theorem. As an application controllability problem is studied for nonlocal neutral fractional integrodifferential equation with impulsive conditions.