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Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations

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  • Qiuping Li
  • Shurong Sun
  • Ping Zhao
  • Zhenlai Han

Abstract

We discuss the initial value problem for the nonlinear fractional differential equation L(D)u = f(t, u), t ∈ (0,1], u(0) = 0, where L(D)=Dsn-an-1Dsn-1-⋯-a1Ds1, 0

Suggested Citation

  • Qiuping Li & Shurong Sun & Ping Zhao & Zhenlai Han, 2012. "Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:615230
    DOI: 10.1155/2012/615230
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    References listed on IDEAS

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    1. 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).
    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, Hindawi, vol. 2011, pages 1-16, December.
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    Cited by:

    1. Mohamed Jleli & Erdal Karapinar & Bessem Samet, 2014. "Positive Solutions for Multipoint Boundary Value Problems for Singular Fractional Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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