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, issue 1

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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https://doi.org/10.1155/2012/423796

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:423796

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