Open AccessExistence and Uniqueness of Solutions for theCauchy‐TypeProblems of Fractional Differential Equations
Author(s) -
Chunhai Kou,
Jian Liu,
Yan Ye
Publication year - 2010
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2010/142175
Subject(s) - uniqueness , mathematics , differential equation , fractional calculus , mathematical analysis
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 results
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