Impulsive fractional functional differential equations with a weakly continuous nonlinearity
| dc.contributor.author | Wang, Yejuan | |
| dc.contributor.author | Gao, Fengshuang | |
| dc.contributor.author | Kloeden, Peter | |
| dc.date.accessioned | 2022-09-08T16:55:33Z | |
| dc.date.available | 2022-09-08T16:55:33Z | |
| dc.date.issued | 2017-11-14 | |
| dc.description.abstract | A general theorem on the local and global existence of solutions is established for an impulsive fractional delay differential equation with Caputo fractional substantial derivative in a separable Hilbert space under the assumption that the nonlinear term is weakly continuous. The uniqueness of solutions is also considered under an additional Lipschitz assumption. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, Y., Gao, F., & Kloeden, P. (2017). Impulsive fractional functional differential equations with a weakly continuous nonlinearity. <i>Electronic Journal of Differential Equations, 2017</i>(285), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16130 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Impulsive fractional delay differential equation | |
| dc.subject | Global solution | |
| dc.subject | Caputo fractional time derivative | |
| dc.title | Impulsive fractional functional differential equations with a weakly continuous nonlinearity | |
| dc.type | Article |