Existence of solutions to fractional differential equations with multi-point boundary conditions at resonance in Hilbert spaces
dc.contributor.author | Zhou, Hua-Cheng | |
dc.contributor.author | Ge, Fu-Dong | |
dc.contributor.author | Kou, Chun-Hai | |
dc.date.accessioned | 2023-06-15T13:28:41Z | |
dc.date.available | 2023-06-15T13:28:41Z | |
dc.date.issued | 2016-02-29 | |
dc.description.abstract | This article is devoted to investigating the existence of solutions to fractional multi-point boundary-value problems at resonance in a Hilbert space. More precisely, the dimension of the kernel of the fractional differential operator with the boundary conditions be any positive integer. We point out that the problem is new even when the system under consideration is reduced to a second-order ordinary differential system with resonant boundary conditions. We show that the considered system admits at least a solution by applying coincidence degree theory first introduced by Mawhin. An example is presented to illustrate our results. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 16 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Zhou, H. C., Ge, F. D., & Kou, C. H. (2016). Existence of solutions to fractional differential equations with multi-point boundary conditions at resonance in Hilbert spaces. Electronic Journal of Differential Equations, 2016(61), pp. 1-16. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16934 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Fractional differential equations | |
dc.subject | Resonance | |
dc.subject | Coincidence degree | |
dc.title | Existence of solutions to fractional differential equations with multi-point boundary conditions at resonance in Hilbert spaces | |
dc.type | Article |