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Existence results for fractional differential inclusions with multi-point and fractional integral boundary conditions. (English) Zbl 1295.34011

The authors establish some new existence results for fractional differential inclusions with multi-point and fractional integral boundary conditions by using standard fixed point theorems for multivalued maps. The cases when the right-hand side has convex as well non-convex values are discussed. Some illustrative examples are presented.

MSC:

34A08 Fractional ordinary differential equations
34A60 Ordinary differential inclusions
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations