Electronic Journal of Qualitative Theory of Differential Equations (Aug 2012)

Existence and continuous dependence of mild solutions for fractional abstract differential equations with infinite delay

  • Haiping Ye,
  • Jiao Liu,
  • Jianming Gao

DOI
https://doi.org/10.14232/ejqtde.2012.1.56
Journal volume & issue
Vol. 2012, no. 56
pp. 1 – 20

Abstract

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In this paper, we prove the existence, uniqueness, and continuous dependence of the mild solutions for a class of fractional abstract differential equations with infinite delay. The results are obtained by using the Krasnoselskii's fixed point theorem and the theory of resolvent operators for integral equations.

Keywords