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Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions

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  • Wen-Xue Zhou
  • Hai-Zhong Liu

Abstract

We discuss the existence of solutions, under the Pettis integrability assumption, for a class of boundary value problems for fractional differential inclusions involving nonlinear nonseparated boundary conditions. Our analysis relies on the Mönch fixed point theorem combined with the technique of measures of weak noncompactness.

Suggested Citation

  • Wen-Xue Zhou & Hai-Zhong Liu, 2012. "Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, August.
    • Handle: RePEc:hin:jnljam:530624
    DOI: 10.1155/2012/530624
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