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A Note on Impulsive Fractional Evolution Equations with Nondense Domain

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  • Zufeng Zhang
  • Bin Liu

Abstract

This paper is concerned with the existence of integral solutions for nondensely defined fractional functional differential equations with impulse effects. Some errors in the existing paper concerned with nondensely defined fractional differential equations are pointed out, and correct formula of integral solutions is established by using integrated semigroup and some probability densities. Sufficient conditions for the existence are obtained by applying the Banach contraction mapping principle. An example is also given to illustrate our results.

Suggested Citation

  • Zufeng Zhang & Bin Liu, 2012. "A Note on Impulsive Fractional Evolution Equations with Nondense Domain," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, August.
    • Handle: RePEc:hin:jnlaaa:359452
    DOI: 10.1155/2012/359452
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    Cited by:

    1. Jayanta Borah & Swaroop Nandan Bora, 2020. "Sufficient Conditions for Existence of Integral Solution for Non-Instantaneous Impulsive Fractional Evolution Equations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 1065-1082, September.

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