Volume 38, Issue 15 pp. 3322-3338
Research Article

Analysis of fractional order differential coupled systems

JinRong Wang

Corresponding Author

JinRong Wang

Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China

School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, China

Correspondence to: JinRong Wang, Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China

E-mail: [email protected]

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Yuruo Zhang

Yuruo Zhang

Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, China

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First published: 21 October 2014
Citations: 41

Abstract

In this paper, we investigate the existence of solutions to nonlinear fractional order differential coupled systemswith the classical nonlocal initial conditions.We introduce a useful vector norm, named β·B-vector norm,which is not only a novelty but also provides another way to deal with a large number of problems not limit to integer and noninteger differential systems and singular integral systems. Copyright © 2014 John Wiley & Sons, Ltd.

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