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Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half‐Line

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  • Dandan Yang
  • Chuanzhi Bai

Abstract

We establish the existence of unbounded solutions for nonlinear fractional boundary value problems on the half‐line. By the upper and lower solution method technique, sufficient conditions for the existence of solutions for the fractional boundary value problems are established. An example is presented to illustrate our main result.

Suggested Citation

  • Dandan Yang & Chuanzhi Bai, 2013. "Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half‐Line," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:349025
    DOI: 10.1155/2013/349025
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    References listed on IDEAS

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    1. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, June.
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