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The Existence of Solutions for Impulsive Fractional Partial Neutral Differential Equations

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  • Xiao-Bao Shu
  • Fei Xu

Abstract

This paper deals with the existence of mild solutions of a class of impulsive fractional partial neutral semilinear differential equations. A series of analytical results about the mild solutions are obtained by using fixed-point methods. Then, we present an example to further illustrate the applications of these results.

Suggested Citation

  • Xiao-Bao Shu & Fei Xu, 2013. "The Existence of Solutions for Impulsive Fractional Partial Neutral Differential Equations," Journal of Mathematics, Hindawi, vol. 2013, pages 1-9, January.
  • Handle: RePEc:hin:jjmath:147193
    DOI: 10.1155/2013/147193
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    Cited by:

    1. Belmahi, Naziha & Shawagfeh, Nabil, 2021. "A new mathematical model for the glycolysis phenomenon involving Caputo fractional derivative: Well posedness, stability and bifurcation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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