Al-Mutair, Ashwaq Mubarak2022-05-182022-05-182017717https://drepo.sdl.edu.sa/handle/20.500.14154/3745In this thesis, we are concerned by the existence of continuous selection for solu tion sets of fractional semilinear di⁄erential inclusions. In the second chapter, we proved the existence of continuous selection, in innite dimensional Banach spaces, for the solution sets of semilinear di⁄erential inclusions of fractional order q 2 (0;1), and the linear part is the innitesimal generator of a C0semigroup. In the third chapter, we established two results. In the rst result, we extended a new resulenThesis