Some results on impulsive boundary value problem for fractional differential inclusions | Zendy

Jianxin Cao | Zendy; Haibo Chen | Zendy

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Some results on impulsive boundary value problem for fractional differential inclusions

Author(s) -

Jianxin Cao,

Haibo Chen

Publication year - 2011

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2011.1.11

Subject(s) - mathematics , differential inclusion , convexity , fixed point theorem , compact space , boundary value problem , order (exchange) , mathematical analysis , differential (mechanical device) , set (abstract data type) , computer science , finance , financial economics , engineering , economics , programming language , aerospace engineering

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 continuous version of Filippov’s theorem are also investigated.

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