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On Impulsive Boundary Value Problems of Fractional Differential Equations with Irregular Boundary Conditions

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  • Guotao Wang
  • Bashir Ahmad
  • Lihong Zhang

Abstract

We study nonlinear impulsive differential equations of fractional order with irregular boundary conditions. Some existence and uniqueness results are obtained by applying standard fixed‐point theorems. For illustration of the results, some examples are discussed.

Suggested Citation

  • Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "On Impulsive Boundary Value Problems of Fractional Differential Equations with Irregular Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:356132
    DOI: 10.1155/2012/356132
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    References listed on IDEAS

    as
    1. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, May.
    3. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    4. Xinguang Zhang & Lishan Liu & Benchawan Wiwatanapataphee & Yonghong Wu, 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher‐Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    6. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, July.
    7. Xinguang Zhang & Lishan Liu & Benchawan Wiwatanapataphee & Yonghong Wu, 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, May.
    8. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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