Variational structure and multiple solutions for a fractional advection–dispersion equation

Zhang, Xinguang; Liu, L.; Wu, Yong Hong

doi:10.1016/j.camwa.2014.10.011

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Authors

Zhang, Xinguang

Liu, L.

Wu, Yong Hong

Date

2014

Type

Journal Article

Metadata

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Citation

Zhang, X. and Liu, L. and Wu, Y.H. 2014. Variational structure and multiple solutions for a fractional advection–dispersion equation. Computers and Mathematics with Applications. 68: pp. 1794-1805.

Source Title

Computers and Mathematics with Applications

DOI

10.1016/j.camwa.2014.10.011

ISSN

0898-1221

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/16594

Collection

Curtin Research Publications

Abstract

By establishing a variational structure and using the critical point theory, we investigatethe existence of multiple solutions for a class of fractional advection–dispersion equationsarising from a symmetric transition of the mass flux. Several criteria for the existence ofmultiple nonzero solutions are established under certain assumptions.