Al Zurayg, Jawaher Ahmed Hamed2022-05-182022-05-1820171297https://drepo.sdl.edu.sa/handle/20.500.14154/3953this thesis we studied the controllability of various nonlocal fractional impulsive semilinear differential inclusions when the linear part is a sectorial operator in infinite dimensional Banach spaces. Then, we consider the same problem when there is a delay. Moreover, we proved the existence of mild solutions for semilinear differential inclusions when the linear part is an almost sectorial operator. We will consider an infinite dimensional Banach spaces. The obtained result extends and generaenThesis