Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions
| dc.contributor.author | Eloe, Paul W. | |
| dc.contributor.author | Neugebauer, Jeffrey T. | |
| dc.date.accessioned | 2021-08-27T17:03:10Z | |
| dc.date.available | 2021-08-27T17:03:10Z | |
| dc.date.issued | 2021-07-07 | |
| dc.description.abstract | Let n ≥ 2 be an integer, and let n - 1 < α ≤ n. We consider eigenvalue problems for two point n - 1, 1 boundary value problems Dα0+ u + α(t)u + λp(t)u = 0, 0 < t < 1, u(i)(0) = 0, i = 0, 1,..., n - 2, Dβ0+ u(1) = 0, where 0 ≤ β ≤ n - 1 and Dα0+ and Dβ0+ denote standard Riemann-Liouville differential operators. We prove the existence of smallest positive eigenvalues and then obtain comparisons of these smallest eigenvalues as functions of both p and β. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Eloe, P. W., & Neugebauer, J. T. (2021). Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions. <i>Electronic Journal of Differential Equations, 2021</i>(62), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14472 | |
| 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Riemann-Liouville fractional differential equation | |
| dc.subject | Boundary value problem | |
| dc.subject | Principal eigenvalue | |
| dc.subject | Fractional boundary conditions | |
| dc.title | Smallest eigenvalues for boundary value problems of two term fractional differential operators depending on fractional boundary conditions | |
| dc.type | Article |