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Some results on impulsive boundary value problem for fractional differential inclusions. (English) Zbl 1261.34003
Summary: This paper deals with impulsive fractional differential inclusions with a fractional-order multi-point boundary condition and with fractional-order impulses. By use of multi-valued analysis and topological fixed point theory, we present some existence results under both convexity and nonconvexity conditions on the multi-valued right-hand side. The compactness of the solutions set and the continuous version of Filippov’s theorem are also investigated.
MSC:
34A08Fractional differential equations
34B37Boundary value problems for ODE with impulses
47N20Applications of operator theory to differential and integral equations
34A60Differential inclusions