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.
Reviewer: Krishnan Balachandran (Coimbatore)
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 |