ON A FRACTIONAL DIFFERENTIAL INCLUSION WITH BOUNDARY CONDITIONS
ON A FRACTIONAL DIFFERENTIAL INCLUSION WITH BOUNDARY CONDITIONS
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发表时间：
2010
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通讯作者：
A. Cernea
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作者：
A. Cernea
证明了一类具有Dirichlet边界条件的非凸集值映射的分数阶微分包含解的Filippov型存在性定理。该方法是在集值映射的选择空间而不是解空间中应用压缩原理。
We prove a Filippov type existence theorem for solutions of a fractional differential inclusion defined by a nonconvex set-valued map with Dirichlet boundary conditions. The method consists in application of the contraction principle in the space of selections of the set-valued map instead of the space of solutions.