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

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  • Xiaoyou Liu
  • Zhenhai Liu

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.

Suggested Citation

  • Xiaoyou Liu & Zhenhai Liu, 2012. "Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-24, December.
    • Handle: RePEc:hin:jnlaaa:423796
    DOI: 10.1155/2012/423796
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