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Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions

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Listed:
  • Xi Fu
  • Xiaoyou Liu

Abstract

This paper is concerned with the fractional separated boundary value problem of fractional differential equations with fractional impulsive conditions. By means of the Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray‐Schauder type, some existence results are obtained. Examples are given to illustrate the results.

Suggested Citation

  • Xi Fu & Xiaoyou Liu, 2013. "Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:785078
    DOI: 10.1155/2013/785078
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    References listed on IDEAS

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    1. Bashir Ahmad & Sotiris K. Ntouyas, 2012. "A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, April.
    2. Bashir Ahmad & Sotiris K. Ntouyas, 2012. "A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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