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Impulsive Problems for Fractional Differential Equations with Nonlocal Boundary Value Conditions

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  • Peiluan Li
  • Youlin Shang

Abstract

We investigate the nonlocal boundary value problems of impulsive fractional differential equations. By Banach’s contraction mapping principle, Schaefer’s fixed point theorem, and the nonlinear alternative of Leray-Schauder type, some related new existence results are established via a new special hybrid singular type Gronwall inequality. At last, some examples are also given to illustrate the results.

Suggested Citation

  • Peiluan Li & Youlin Shang, 2014. "Impulsive Problems for Fractional Differential Equations with Nonlocal Boundary Value Conditions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, April.
    • Handle: RePEc:hin:jnlaaa:510808
    DOI: 10.1155/2014/510808
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