Existência de solução para um problema envolvendo uma equação diferencial fracionária

• Autor(a) principal: Forsch, Fabíola Cristiane
• Data de Publicação: 2019
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Manancial - Repositório Digital da UFSM
• Texto Completo: http://repositorio.ufsm.br/handle/1/20927
• topic: 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

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.