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

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

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 i...

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Bibliographic Details
Main Authors: Haiping Ye, Jiao Liu, Jianming Gao
Format: Article
Language:English
Published: University of Szeged 2012-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
fractional differential equation
mild solution
infinite delay
phase space
resolvent operator
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1581

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1581

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