摘要：In this paper, the existence of solutions for differential inclusions of fractional order q ∈ ( 1 , 2 ] with nonlocal strip conditions is investigated. Our study includes two cases: (i) the multivalued map involved in the problem is not necessarily convex valued, (ii) the multivalued map consists of non-convex values. We combine the nonlinear alternative of Leray-Schauder type coupled with the selection theorem of Bressan and Colombo to establish the first result, while the second result relies on Wegrzyk’s fixed point theorem for generalized contractions. MSC:34A08, 34B10, 34B15.
关键词：fractional differential inclusions ; integral boundary conditions ; existence ; fixed point theorems
