Some existence results for boundary value problems of fractional differential inclusions with non-separated boundary conditions

摘要

In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order $q in (1,2]$ with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.