Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative

Xiaoyou Liu and Zhenhai Liu

Abstract and Applied Analysis, 2012, vol. 2012, 1-24

Abstract:

This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:423796

DOI: 10.1155/2012/423796

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