Acceda
author
Caballero, J.
author
Harjani, Jackie
author
Sadarangani Sadarangani, Kishin B.
2012-11-14T09:14:54Z
2012-11-14T09:14:54Z
2011-09-18
http://dx.doi.org/10.1186/1687-2770-2011-25
http://hdl.handle.net/10553/9006
[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
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Previous issue date: 2011-09-18
Boundary Value Problems 2011, 2011:25
12 Matemáticas
Fractional boundary value problem
Fixed-point theorem
Positive solution
On existence and uniqueness of positive solutions to a class of fractional boundary value problems
Artículo
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