EXISTENCE SOLUTION OF NEUTRAL FRACTIONAL DIFFERENTIAL INCLUSIONS WITH FRACTIONAL OPERATOR.

This paper is mainly concerned with existence of mild solutions for a first order impulsive neutral fractional integrodifferential inclusions with nonlocal initial conditions in α- norm. We assume that the linear part generates an analytic semigroup and transform it into an integral inclusion. By using a fixed point theorem for multi-valued maps due to Dhage, a main existence theorem is established. Finally, we present an example to illustrate this main theorem. [ABSTRACT FROM AUTHOR]