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Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives

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  • Xinguang Zhang
  • Lishan Liu
  • Benchawan Wiwatanapataphee
  • Yonghong Wu

Abstract

By establishing a maximal principle and constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of a class of fractional differential equations is discussed. Some sufficient conditions for the existence of positive solutions are established.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:512127
    DOI: 10.1155/2012/512127
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    Cited by:

    1. Wenquan Wu & Xiangbing Zhou, 2013. "Eigenvalue of Fractional Differential Equations with -Laplacian Operator," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-8, March.

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