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Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem

Author

Listed:
  • Xinguang Zhang
  • Cuiling Mao
  • Yonghong Wu
  • Hua Su

Abstract

We establish the existence of positive solutions to a class of singular nonlocal fractional order differential system depending on two parameters. Our methods are based on Schauder’s fixed point theorem.

Suggested Citation

  • Xinguang Zhang & Cuiling Mao & Yonghong Wu & Hua Su, 2014. "Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:457965
    DOI: 10.1155/2014/457965
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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. 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. Ying Wang & Lishan Liu & Xinguang Zhang & Yonghong Wu, 2014. "Positive Solutions for (n − 1,1)‐Type Singular Fractional Differential System with Coupled Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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