Positive solutions for superlinear Riemann-Liouville fractional boundary-value problems
| dc.contributor.author | Bachar, Imed | |
| dc.contributor.author | Maagli, Habib | |
| dc.contributor.author | Radulescu, Vicentiu | |
| dc.date.accessioned | 2022-08-03T21:11:35Z | |
| dc.date.available | 2022-08-03T21:11:35Z | |
| dc.date.issued | 2017-10-04 | |
| dc.description.abstract | Using a perturbation argument, we establish the existence and uniqueness of a positive continuous solution for the following superlinear Riemann-Liouville fractional boundary-value problem Dαu(x) - u(x)ϕ(x, u(x)) = 0, 0 < x < 1, u(0) = u'(0) = limx→0+ x4-α u″(x) = 0, u″(1) = α > 0, where 3 < α ≤ 4 and ϕ(x, t) satisfies a suitable integrability condition. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bachar, I., Mâagli, H., & Radulescu, V. D. (2017). Positive solutions for superlinear Riemann-Liouville fractional boundary-value problems. Electronic Journal of Differential Equations, 2017(240), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16032 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional differential equation | |
| dc.subject | Positive solution | |
| dc.subject | Green's function | |
| dc.subject | Perturbation | |
| dc.subject | Schauder fixed point theorem | |
| dc.title | Positive solutions for superlinear Riemann-Liouville fractional boundary-value problems | |
| dc.type | Article |