The Existence and Uniqueness of a Class of Fractional Differential Equations

By using inequalities, fixed point theorems, and lower and upper solution method, the existence and uniqueness of a class of fractional initial value problems, D0+qx(t)=f(t,x(t),  D0+q-1x(t)),  t∈(0,T),  x(0)=0,  D0+q-1x(0)=x0,  are discussed, where f∈C([0,T]×R2,R),D0+qx(t) is the standard Riemann-L...

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Bibliographic Details
Main Authors: Zhanbing Bai, Sujing Sun, YangQuan Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/486040
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