The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay

Wang, F.; Chen, D.; Zhang, Xinguang; Wu, Yong Hong

doi:10.1016/j.aml.2015.10.001

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Authors

Wang, F.

Chen, D.

Zhang, Xinguang

Wu, Yong Hong

Date

2016

Type

Journal Article

Metadata

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Citation

Wang, F. and Chen, D. and Zhang, X. and Wu, Y.H. 2016. The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay. Applied Mathematics Letters. 53: pp. 45-51.

Source Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2015.10.001

ISSN

0893-9659

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/24805

Collection

Curtin Research Publications

Abstract

In this paper, we investigate the existence and uniqueness of the solution to a class of nonlinear fractional order system with delay. The estimate value of the above solution is also obtained by using the generalized Gronwall inequality.