Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay

Zhu, B.; Liu, Lishan; Wu, Yong Hong

doi:10.1016/j.aml.2016.05.010

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Authors

Zhu, B.

Liu, Lishan

Wu, Yong Hong

Date

2016

Type

Journal Article

Metadata

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Citation

Zhu, B. and Liu, L. and Wu, Y.H. 2016. Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay. Applied Mathematics Letters. 61: pp. 73-79.

Source Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2016.05.010

ISSN

0893-9659

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/34731

Collection

Curtin Research Publications

Abstract

In this paper, we investigate the local and global existence of mild solutions to a class of nonlinear fractional reaction-diffusion equations with delay via the theory of ß-resolvent family and fixed point theorems.