Attractivity of fractional functional differential equations

Authors:
Fulai Chen;Yong Zhou
Affiliations:
Department of Mathematics, Xiangnan University, Chenzhou 423000, China;School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411005, China
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

In this paper, some attractivity results for fractional functional differential equations are obtained by using the fixed point theorem. By constructing equivalent fractional integral equations, research on the attractivity of fractional functional and neutral differential equations is skillfully converted into a discussion about the existence of fixed points for equivalent fractional integral equations. Two examples are also provided to illustrate our main results.