The spectral analysis for a singular fractional differential equation with a signed measure
| dc.contributor.author | Zhang, Xinguang | |
| dc.contributor.author | Liu, Lishan | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.contributor.author | Wiwatanapataphee, Benchawan | |
| dc.date.accessioned | 2017-01-30T15:30:29Z | |
| dc.date.available | 2017-01-30T15:30:29Z | |
| dc.date.created | 2015-05-22T08:32:23Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Zhang, X. and Liu, L. and Wu, Y.H. and Wiwatanapataphee, B. 2015. The spectral analysis for a singular fractional differential equation with a signed measure. Applied Mathematics & Computation. 257: pp. 252-263. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/46987 | |
| dc.identifier.doi | 10.1016/j.amc.2014.12.068 | |
| dc.description.abstract |
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. | |
| dc.publisher | Elsevier | |
| dc.subject | Singularity | |
| dc.subject | Positive solution | |
| dc.subject | Spectral analysis | |
| dc.subject | Signed measure | |
| dc.subject | First eigenvalue | |
| dc.subject | Fixed point index | |
| dc.title | The spectral analysis for a singular fractional differential equation with a signed measure | |
| dc.type | Journal Article | |
| dcterms.source.volume | 257 | |
| dcterms.source.startPage | 252 | |
| dcterms.source.endPage | 263 | |
| dcterms.source.issn | 0096-3003 | |
| dcterms.source.title | Applied Mathematics & Computation | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Fulltext not available | |
| curtin.faculty | Faculty of Science and Engineering |