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2014 The Existence and Uniqueness of a Class of Fractional Differential Equations
Zhanbing Bai, Sujing Sun, YangQuan Chen
Abstr. Appl. Anal. 2014(none): 1-6 (2014). DOI: 10.1155/2014/486040

Abstract

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 fC([0,T]×R2,R),D0+qx(t) is the standard Riemann-Liouville fractional derivative, 1<q<2. Some mistakes in the literature are pointed out and some new inequalities and existence and uniqueness results are obtained.

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Zhanbing Bai. Sujing Sun. YangQuan Chen. "The Existence and Uniqueness of a Class of Fractional Differential Equations." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/486040

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022469
MathSciNet: MR3226199
Digital Object Identifier: 10.1155/2014/486040

Rights: Copyright © 2014 Hindawi

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