Existence of solutions for conformable fractional problems with nonlinear functional boundary conditions
In this article, we study the existence of solutions for nonlinear conformable fractional differential equations with nonlinear functional boundary conditions. We obtain the exact expression of the fractional Green’s function related to the linear problem. Moreover, the method of upper and lower sol...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/45446 |
| Acesso em linha: | https://hdl.handle.net/10347/45446 |
| Access Level: | acceso abierto |
| Palavra-chave: | Conformable fractional derivative Nonlinear boundary conditions Green’s function Upper and lower solutions method Existence theorems Maximum principles 1202 Análisis y análisis funcional |
| Resumo: | In this article, we study the existence of solutions for nonlinear conformable fractional differential equations with nonlinear functional boundary conditions. We obtain the exact expression of the fractional Green’s function related to the linear problem. Moreover, the method of upper and lower solutions together with Schauder’s fixed point theorem is developed for the nonlinear conformable fractional problems with nonlinear functional boundary conditions. |
|---|