Existence and Uniqueness of Solutions for the Cauchy-Type Problems of Fractional Differential Equations

By using the Banach fixed point theorem and step method, we study the existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations. Meanwhile, by citing some counterexamples, it is pointed out that there exist a few defects in the proofs of the known result...

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Bibliographic Details
Main Authors: Chunhai Kou, Jian Liu, Yan Ye
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/142175