A q-fractional approach to the regular Sturm-Liouville problems
| dc.contributor.author | AL-Towailb, Maryam A. | |
| dc.date.accessioned | 2022-04-08T16:19:53Z | |
| dc.date.available | 2022-04-08T16:19:53Z | |
| dc.date.issued | 2017-03-28 | |
| dc.description.abstract | In this article, we study the regular q-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riemann-Liouville q-fractional derivative of the same order, α ∈ (0, 1). We prove properties of the eigenvalues and the eigenfunctions in a certain Hilbert space. We use a fixed point theorem for proving the existence and uniqueness of the eigenfunctions. We also present an example involving little q-Legendre polynomials. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | AL-Towailb, M. A. (2017). A q-fractional approach to the regular Sturm-Liouville problems. <i>Electronic Journal of Differential Equations, 2017</i>(88), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15620 | |
| 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 | Boundary value problems | |
| dc.subject | Eigenvalues and eigenfunctions | |
| dc.subject | Left and right sided Riemann-Liouville | |
| dc.subject | Caputo q-fractional derivatives | |
| dc.title | A q-fractional approach to the regular Sturm-Liouville problems | |
| dc.type | Article |