The asymptotic behaviour of fractional lattice systems with variable delay
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated. The existence of a global attracting set is establis...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/88958 |
| Acceso en línea: | https://hdl.handle.net/11441/88958 https://doi.org/10.1515/fca-2019-0038 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractional substantial derivative Fractional lattice systems Variable delay Leray-Schauder theorem Global attracting sets |
| Sumario: | The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated. The existence of a global attracting set is established. It is shown to be a singleton set under a certain condition on the Lipschitz constant. |
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