Existence solution of neutral fractional differential equation inclusions with fractional operator

M. H.M. Rashid, A. Al-Omari
2014 Miskolc Mathematical Notes  
This paper is mainly concerned with existence of mild solutions for a first order impulsive neutral fractional integrodifferential 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.
doi:10.18514/mmn.2014.372 fatcat:egcuey2ty5cxjkeirycqjzyb4e