Lyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions
| dc.contributor.author | Dhar, Sougata | |
| dc.contributor.author | Kong, Qingkai | |
| dc.date.accessioned | 2022-06-10T19:05:24Z | |
| dc.date.available | 2022-06-10T19:05:24Z | |
| dc.date.issued | 2017-09-06 | |
| dc.description.abstract | We study linear fractional boundary value problems consisting of an α-th order Riemann-Liouville fractional differential equation with 2 < α < 3 and certain fractional boundary conditions. We derive several Lyapunov-type inequalities and apply them to establish nonexistence, uniqueness, and existence-uniqueness of solutions for related homogeneous and nonhomogeneous linear fractional boundary value problems. As a special case, our work extends some existing results for third-order linear boundary value problems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dhar, S., & Kong, Q. (2017). Lyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions. Electronic Journal of Differential Equations, 2017(203), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15897 | |
| 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 equations | |
| dc.subject | Fractional boundary conditions | |
| dc.subject | Lyapunov-type inequalities | |
| dc.subject | Boundary value problems | |
| dc.subject | Existence and uniqueness of solutions | |
| dc.title | Lyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions | |
| dc.type | Article |