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Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations

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  • Jing Wu
  • Xinguang Zhang

Abstract

We study the eigenvalue interval for the existence of positive solutions to a semipositone higher order fractional differential equation = =   where ,   , , , satisfying , is the standard Riemann-Liouville derivative, , and is allowed to be changing-sign. By using reducing order method, the eigenvalue interval of existence for positive solutions is obtained.

Suggested Citation

  • Jing Wu & Xinguang Zhang, 2012. "Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, December.
    • Handle: RePEc:hin:jnlaaa:740760
    DOI: 10.1155/2012/740760
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