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In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q ∈ (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.

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