The spectral analysis for a singular fractional differential equation with a signed measure
In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, we obtain some properties of the first eigenvalue of a fractional differential equation. Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some s...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Elsevier
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/46987 |
| _version_ | 1848757711116697600 |
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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 | In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, we obtain some properties of the first eigenvalue of a fractional differential equation. Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence of positive solutions are established. |
| first_indexed | 2025-11-14T09:32:26Z |
| format | Journal Article |
| id | curtin-20.500.11937-46987 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:32:26Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-469872017-09-13T15:57:25Z The spectral analysis for a singular fractional differential equation with a signed measure Zhang, Xinguang Liu, Lishan Wu, Yong Hong Wiwatanapataphee, Benchawan Singularity Positive solution Spectral analysis Signed measure First eigenvalue Fixed point index In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, we obtain some properties of the first eigenvalue of a fractional differential equation. Based on these properties, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence of positive solutions are established. 2015 Journal Article http://hdl.handle.net/20.500.11937/46987 10.1016/j.amc.2014.12.068 Elsevier restricted |
| spellingShingle | Singularity Positive solution Spectral analysis Signed measure First eigenvalue Fixed point index Zhang, Xinguang Liu, Lishan Wu, Yong Hong Wiwatanapataphee, Benchawan The spectral analysis for a singular fractional differential equation with a signed measure |
| title | The spectral analysis for a singular fractional differential equation with a signed measure |
| title_full | The spectral analysis for a singular fractional differential equation with a signed measure |
| title_fullStr | The spectral analysis for a singular fractional differential equation with a signed measure |
| title_full_unstemmed | The spectral analysis for a singular fractional differential equation with a signed measure |
| title_short | The spectral analysis for a singular fractional differential equation with a signed measure |
| title_sort | spectral analysis for a singular fractional differential equation with a signed measure |
| topic | Singularity Positive solution Spectral analysis Signed measure First eigenvalue Fixed point index |
| url | http://hdl.handle.net/20.500.11937/46987 |