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Existence and Global Asymptotic Behavior of Positive Solutions for Nonlinear Fractional Dirichlet Problems on the Half-Line

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  • Imed Bachar
  • Habib Mâagli

Abstract

We are interested in the following fractional boundary value problem: , , , , where , , is the standard Riemann-Liouville fractional derivative, and is a nonnegative continuous function on satisfying some appropriate assumptions related to Karamata regular variation theory. Using the Schauder fixed point theorem, we prove the existence and the uniqueness of a positive solution. We also give a global behavior of such solution.

Suggested Citation

  • Imed Bachar & Habib Mâagli, 2014. "Existence and Global Asymptotic Behavior of Positive Solutions for Nonlinear Fractional Dirichlet Problems on the Half-Line," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnlaaa:537971
    DOI: 10.1155/2014/537971
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