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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: Dαu(t) + a(t)uσ = 0, t ∈ (0, ∞), limt→0⁡t2−α u(t) = 0, limt→∞⁡t1−α u(t) = 0, where 1

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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:537971
    DOI: 10.1155/2014/537971
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    References listed on IDEAS

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    1. Ravi P. Agarwal & Donal O’Regan, 2001. "Infinite Interval Problems for Differential, Difference and Integral Equations," Springer Books, Springer, number 978-94-010-0718-4, March.
    2. Yige Zhao & Shurong Sun & Zhenlai Han & Qiuping Li, 2011. "Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Yige Zhao & Shurong Sun & Zhenlai Han & Qiuping Li, 2011. "Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-16, December.
    4. Habib Mâagli & Noureddine Mhadhebi & Noureddine Zeddini, 2013. "Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Habib Mâagli & Noureddine Mhadhebi & Noureddine Zeddini, 2013. "Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
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