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Some existence results for boundary value problems of fractional differential inclusions with non-separated boundary conditions. (English) Zbl 1206.26005

Summary: 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.

MSC:

26A33 Fractional derivatives and integrals
34A60 Ordinary differential inclusions
34B15 Nonlinear boundary value problems for ordinary differential equations
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