MMN-372
Existence solution of neutral fractional differential equation inclusions with fractional operator
M. H.M. Rashid; A. Al-Omari;Abstract
This paper is mainly concerned with existence of mild solutions for a first order impulsive neutral fractional integrodiff erential inclusions with nonlocal initial conditions in - 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.
Vol. 15 (2014), No. 2, pp. 691-709