Existência de solução para um problema envolvendo uma equação diferencial fracionária
This paper aims to present results that guarantee the existence of solution to a problem involving a fractional differential equation with antiperiodic boundary conditions. The fractional differential equation considered in such a problem is given in terms of the Caputo fractional derivative. To ens...
| Author: | |
|---|---|
| Format: | master thesis |
| Status: | Published version |
| Publication Date: | 2019 |
| Country: | Brasil |
| Institution: | Universidade Federal de Santa Maria (UFSM) |
| Repository: | Manancial - Repositório Digital da UFSM |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.ufsm.br:1/20927 |
| Online Access: | http://repositorio.ufsm.br/handle/1/20927 |
| Access Level: | Open access |
| Keyword: | Equação diferencial fracionária Derivada fracionária de Caputo Grau topológico de Leray-Schauder Teorema do ponto fixo de Altman Teorema do ponto fixo de Schauder Fractional differential equation Caputo fractional derivative Leray-Schauder topological degree Altman’s fixed point theorem Schauder’s fixed point theorem CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Summary: | This paper aims to present results that guarantee the existence of solution to a problem involving a fractional differential equation with antiperiodic boundary conditions. The fractional differential equation considered in such a problem is given in terms of the Caputo fractional derivative. To ensure the validity of the results, we make use of the theory of Leray-Schauder topological degree, and fixed point theorems, namely Altman’s fixed point theorem and Schauder’s fixed point theorem, which are also demonstrated with the aid of properties from the Leray-Schauder topological degree. |
|---|