Continuous selections of solution sets of semilinear differential inclusions of fractional order

Abstract

In 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 resul