Open AccessExistence and continuous dependence of mild solutions for fractional abstract differential equations with infinite delay
Author(s) -
Haiping Ye,
Jiao Liu,
Jianming Gao
Publication year - 2012
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2012.1.56
Subject(s) - mathematics , differential equation , fractional calculus , mathematical analysis
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.
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