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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 -𝒟tμx(t) = λf(t,x(t),𝒟tμ1x(t),𝒟tμ2x(t),… ,𝒟tμn-1x(t))…𝒟tμix(0) = 011001, ≤i≤n-,𝒟tμn-1+1x()=, 𝒟tμn-1x()=∑j=1m-2aj𝒟tμn-1x(ξj), where n − 1

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  • Jing Wu & Xinguang Zhang, 2012. "Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:740760
    DOI: 10.1155/2012/740760
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