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The Existence of Solutions for Four‐Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance

Author

Listed:
  • Yumei Zou
  • Lishan Liu
  • Yujun Cui

Abstract

A four‐point coupled boundary value problem of fractional differential equations is studied. Based on Mawhin’s coincidence degree theory, some existence theorems are obtained in the case of resonance.

Suggested Citation

  • Yumei Zou & Lishan Liu & Yujun Cui, 2014. "The Existence of Solutions for Four‐Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:314083
    DOI: 10.1155/2014/314083
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    References listed on IDEAS

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    1. Xinguang Zhang & Lishan Liu & Benchawan Wiwatanapataphee & Yonghong Wu, 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Xiaoling Han & Ting Wang, 2011. "The Existence of Solutions for a Nonlinear Fractional Multi-Point Boundary Value Problem at Resonance," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-14, August.
    3. Xinguang Zhang & Lishan Liu & Benchawan Wiwatanapataphee & Yonghong Wu, 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, May.
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    Cited by:

    1. Yujun Cui & Yumei Zou, 2014. "Existence Results and the Monotone Iterative Technique for Nonlinear Fractional Differential Systems with Coupled Four‐Point Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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