Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
© 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.
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/52416 |
| _version_ | 1848758921071689728 |
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| author | Zhang, Xinguang Liu, Lishan Wu, Yong Hong Wiwatanapataphee, Benchawan |
| author_facet | Zhang, Xinguang Liu, Lishan Wu, Yong Hong Wiwatanapataphee, Benchawan |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 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. |
| first_indexed | 2025-11-14T09:51:40Z |
| format | Journal Article |
| id | curtin-20.500.11937-52416 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:51:40Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-524162017-09-13T15:38:43Z Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion Zhang, Xinguang Liu, Lishan Wu, Yong Hong Wiwatanapataphee, Benchawan © 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. 2017 Journal Article http://hdl.handle.net/20.500.11937/52416 10.1016/j.aml.2016.10.015 Elsevier restricted |
| spellingShingle | Zhang, Xinguang Liu, Lishan Wu, Yong Hong Wiwatanapataphee, Benchawan Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion |
| title | Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion |
| title_full | Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion |
| title_fullStr | Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion |
| title_full_unstemmed | Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion |
| title_short | Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion |
| title_sort | nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion |
| url | http://hdl.handle.net/20.500.11937/52416 |