TITLE:
Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces
AUTHORS:
Ahmed Gamal Ibrahim, Nawal Abdulwahab Al Sarori
KEYWORDS:
Fractional Differential Inclusions; Impulsive Semilinear Functional Differential Inclusions; The Infinitesimal Generator of a Semigroup; Nonlocal Conditions; Mild Solutions
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.7A,
July
9,
2013
ABSTRACT: In this paper, we give various existence results concerning the existence of mild solutions for nonlocal impulsive differential inclusions with delay and of fractional order in Caputo sense in Banach space. We consider the case when the values of the orient field are convex as well as nonconvex. Our obtained results improve and generalize many results proved in recent papers.