Existence and asymptotic behavior of positive solutions for semilinear fractional Navier boundary-value problems
| dc.contributor.author | Maagli, Habib | |
| dc.contributor.author | Dhifli, Abdelwaheb | |
| dc.date.accessioned | 2022-05-23T17:12:19Z | |
| dc.date.available | 2022-05-23T17:12:19Z | |
| dc.date.issued | 2017-05-25 | |
| dc.description.abstract | We study the existence, uniqueness, and asymptotic behavior of positive continuous solutions to the fractional Navier boundary-value problem Dβ(Dαu)(x) = -p(x)uσ, ∈ (0, 1), lim x→0 x1-β Dαu(x) = 0, u(1) = 0, where α, β ∈ (0, 1] such that α + β > 1, Dβ and Dα stand for the standard Riemann-Liouville fractional derivatives, σ ∈ (-1, 1) and p being a nonnegative continuous function in (0, 1) that may be singular at x = 0 and satisfies some conditions related to the Karamata regular variational theory. Our approach is based on the Schäuder fixed point theorem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mâagli, H., & Dhifli, A. (2017). Existence and asymptotic behavior of positive solutions for semilinear fractional Navier boundary-value problems. <i>Electronic Journal of Differential Equations, 2017</i>(141), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15798 | |
| 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 Navier differential equations | |
| dc.subject | Dirichlet problem | |
| dc.subject | Positive solution | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Schäuder fixed point theorem | |
| dc.title | Existence and asymptotic behavior of positive solutions for semilinear fractional Navier boundary-value problems | |
| dc.type | Article |