Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 37, pp. 1-17.

Title: Nonemptyness and compactness of the solution set for fractional evolution
       inclusions with non-instantaneous impulses

Authors: Jinrong Wang (Guizhou Univ., Guiyang, Guizhou, China)
         Ahmed G. Ibrahim (King Faisal Univ., Al-Ahasa 31982, Saudi Arabia)
         Donal O'Regan (National Univ. of Ireland, Galway, Ireland)

Abstract:
 In this article, we consider the nonemptyness and compactness of the
 solution  set for a class of fractional semilinear evolution inclusions
 with non-instantaneous impulses in Banach spaces. To achieve this we use
 fixed point theorems  with  semigroup theory, upper semicontinuous
 multi-functions and measures of noncompactness.

Submitted July 11, 2018. Published March 06, 2019.
Math Subject Classifications: 34A60.
Key Words: Fractional evolution inclusions; non-instantaneous impulses; compactness.