Existence theory for some class of nonlocal integro-differential inclusions without compactness or norm-continuity

Abstract

This work is devoted to discuss the existence of solutions for an abstract class of partial integro-differential inclusions without compactness or norm-continuity conditions. Therefore, we derive an existence theory for some problems of fractional differential inclusions, as well as, neutral differential inclusions with nonlocal conditions on Banach space. Our studies are achieved via fixed point techniques.