Topological Structure Of The Solution Set For Fractional Evolution Inclusions With Almost Sectorial Operators

In recent years,fractional differential equations and fractional differential in-clusions have gained considerable importance due to their applications in various fields.In this paper,we investigate the topological structure of solution sets for frac-tional evolution inclusions with almost sectorial operators.In chapter 2,we discuss the fractional differential inclusion in the case that the semigroup generated by lin-ear part is compact,we obtain the results that the solution set of mild solutions is nonempty and a compact R?-set.In chapter 3,when the semigroup generated by linear part is noncompact,via giving constraint conditions for the regularity of nonlinear term,we prove the existence of mild solutions by using weak topology method,and then we proceed to show the topological structure of solution set by using measures of noncompactness.As a sample of application,we consider a partial differential inclusion at the end of the paper.