Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion

Zhang, Xinguang; Liu, Lishan; Wu, Yong Hong; Wiwatanapataphee, Benchawan

doi:10.1016/j.aml.2016.10.015

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Authors

Zhang, Xinguang

Liu, Lishan

Wu, Yong Hong

Wiwatanapataphee, Benchawan

Date

2017

Type

Journal Article

Metadata

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Citation

Zhang, X. and Liu, L. and Wu, Y.H. and Wiwatanapataphee, B. 2017. Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion. Applied Mathematics Letters. 66: pp. 1-8.

Source Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2016.10.015

ISSN

0893-9659

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52416

Collection

Curtin Research Publications

Abstract

© 2016 Elsevier LtdIn this paper, we consider the existence of nontrivial solutions for a class of fractional advection–dispersion equations. A new existence result is established by introducing a suitable fractional derivative Sobolev space and using the critical point theorem.