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The Existence of Positive Solutions for Fractional Differential Equations with Sign Changing Nonlinearities

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  • Weihua Jiang
  • Jiqing Qiu
  • Weiwei Guo

Abstract

We investigate the existence of at least two positive solutions to eigenvalue problems of fractional differential equations with sign changing nonlinearities in more generalized boundary conditions. Our analysis relies on the Avery‐Peterson fixed point theorem in a cone. Some examples are given for the illustration of main results.

Suggested Citation

  • Weihua Jiang & Jiqing Qiu & Weiwei Guo, 2012. "The Existence of Positive Solutions for Fractional Differential Equations with Sign Changing Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:180672
    DOI: 10.1155/2012/180672
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    References listed on IDEAS

    as
    1. Moustafa El-Shahed, 2007. "Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2007, pages 1-8, October.
    2. Moustafa El-Shahed, 2007. "Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
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