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Eigenvalue of Fractional Differential Equations with -Laplacian Operator

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  • Wenquan Wu
  • Xiangbing Zhou

Abstract

We investigate the existence of positive solutions for the fractional order eigenvalue problem with -Laplacian operator , where are the standard Riemann-Liouville derivatives and -Laplacian operator is defined as is continuous and can be singular at and By constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of fractional differential equation is established.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnddns:137890
    DOI: 10.1155/2013/137890
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    References listed on IDEAS

    as
    1. Jinhua Wang & Hongjun Xiang, 2010. "Upper and Lower Solutions Method for a Class of Singular Fractional Boundary Value Problems with p -Laplacian Operator," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-12, September.
    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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