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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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:530624
    DOI: 10.1155/2012/530624
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    References listed on IDEAS

    as
    1. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    2. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher‐Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
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    Cited by:

    1. Wen-Xue Zhou & Hai-zhong Liu, 2014. "Uniqueness and Existence of Solution for a System of Fractional q‐Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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