Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations

We study some existence results in a Banach space for a nonlocal boundary value problem involving a nonlinear differential equation of fractional order q given by cDqxt ft, xt , 0 <t< 1, q ∈ m − 1, m , m ∈ N, m ≥ 2, x0 0, x 0 0, x 0 0,...,xm−2 0 0, x1 αxη . Our results are based on the contrac...

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Detalhes bibliográficos
Autores: Ahmad, Bashir, Nieto Roig, Juan José
Tipo de documento: artigo
Data de publicação:2009
País:España
Recursos:Universidad de Santiago de Compostela (USC)
Repositório:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglês
OAI Identifier:oai:minerva.usc.gal:10347/22854
Acesso em linha:http://hdl.handle.net/10347/22854
Access Level:Acceso aberto
Descrição
Resumo:We study some existence results in a Banach space for a nonlocal boundary value problem involving a nonlinear differential equation of fractional order q given by cDqxt ft, xt , 0 <t< 1, q ∈ m − 1, m , m ∈ N, m ≥ 2, x0 0, x 0 0, x 0 0,...,xm−2 0 0, x1 αxη . Our results are based on the contraction mapping principle and Krasnoselskii’s fixed point theorem.