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Existence Results and the Monotone Iterative Technique for Nonlinear Fractional Differential Systems with Coupled Four‐Point Boundary Value Problems

Author

Listed:
  • Yujun Cui
  • Yumei Zou

Abstract

By establishing a comparison result and using the monotone iterative technique combined with the method of upper and lower solutions, we investigate the existence of solutions for nonlinear fractional differential systems with coupled four‐point boundary value problems.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:242591
    DOI: 10.1155/2014/242591
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    References listed on IDEAS

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    1. 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).
    2. 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, Hindawi, vol. 2014, pages 1-8, March.
    3. Yujun Cui & Lishan Liu & Xingqiu Zhang, 2013. "Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, November.
    4. Yujun Cui & Lishan Liu & Xingqiu Zhang, 2013. "Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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