A Note on Impulsive Fractional Evolution Equations with Nondense Domain

Zufeng Zhang and Bin Liu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/359452

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:359452

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