On existence and uniqueness of positive solutions to a class of fractional boundary value problems
Data(s) |
14/11/2012
14/11/2012
2011
12/11/2012
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Resumo |
[EN] The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fractional boundary value problem D 0 + α u ( t ) + f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = u ( 1 ) = u ′ ( 0 ) = 0 , where 2 < α ≤ 3 and D 0 + α is the Riemann-Liouville fractional derivative. Our analysis relies on a fixed-point theorem in partially ordered metric spaces. The autonomous case of this problem was studied in the paper [Zhao et al., Abs. Appl. Anal., to appear], but in Zhao et al. (to appear), the question of uniqueness of the solution is not treated. We also present some examples where we compare our results with the ones obtained in Zhao et al. (to appear). 2010 Mathematics Subject Classification: 34B15 |
Identificador |
http://hdl.handle.net/10553/9006 670843 10.1186/1687-2770-2011-25 |
Idioma(s) |
eng |
Direitos |
J Caballero et al.; licensee BioMed Central Ltd. info:eu-repo/semantics/openAccess info:eu-repo/semantics/openAccess |
Fonte |
Boundary Value Problems 2011, 2011:25 |
Palavras-Chave | #12 Matemáticas |
Tipo |
info:eu-repo/semantics/article |