Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions
This paper investigates the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of problems arise from viscoelasticity, electrochemistry control, porous media, electromagnet...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
SpringerOpen
2012
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/30226 |
| _version_ | 1848753027653042176 |
|---|---|
| author | Jia, M. Zhang, Xinguang Gu, X. |
| author_facet | Jia, M. Zhang, Xinguang Gu, X. |
| author_sort | Jia, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of problems arise from viscoelasticity, electrochemistry control, porous media, electromagnetic and signal processing of wireless communication system. Some sufficient conditions for the existence and uniqueness of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray-Schauder nonlinear alternative and Schauder fixed point theorem. |
| first_indexed | 2025-11-14T08:17:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-30226 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:17:59Z |
| publishDate | 2012 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-302262017-09-13T15:31:39Z Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions Jia, M. Zhang, Xinguang Gu, X. Leray-Schauder nonlinear alternative Green function nontrivial solution fractional differential equation This paper investigates the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of problems arise from viscoelasticity, electrochemistry control, porous media, electromagnetic and signal processing of wireless communication system. Some sufficient conditions for the existence and uniqueness of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray-Schauder nonlinear alternative and Schauder fixed point theorem. 2012 Journal Article http://hdl.handle.net/20.500.11937/30226 10.1186/1687-2770-2012-70 SpringerOpen unknown |
| spellingShingle | Leray-Schauder nonlinear alternative Green function nontrivial solution fractional differential equation Jia, M. Zhang, Xinguang Gu, X. Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions |
| title | Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions |
| title_full | Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions |
| title_fullStr | Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions |
| title_full_unstemmed | Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions |
| title_short | Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions |
| title_sort | nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions |
| topic | Leray-Schauder nonlinear alternative Green function nontrivial solution fractional differential equation |
| url | http://hdl.handle.net/20.500.11937/30226 |