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Title: | Existence and uniqueness of positive solutions for a singular fractional three-point boundary value problem | Authors: | Cabrera, I. J. Harjani, J. Sadarangani, K. B. |
UNESCO Clasification: | 120215 Ecuaciones integrales | Keywords: | Differential-Equation | Issue Date: | 2012 | Project: | Teoremas Del Punto Fijo y Aplicaciones. Desigualdades de Integrales Fuzzy | Journal: | Abstract and Applied Analysis | Abstract: | We investigate the existence and uniqueness of positive solutions for the following singular fractional three-point boundary value problem Dα0+ u (t) +f (t,u (t)) = 0,0 < t < 1, u (0) = u’ (0) =u’’ (0) = 0,u’’ (1) = βu’’(η), where 3 <α ≤ 4, Dα0+ is the standard Riemann-Liouville derivative and f : (0,1] × [0,∞) → [0,∞) with limt→0+ f (t,·) = ∞ (i.e., f is singular at t=0). Our analysis relies on a fixed point theorem in partially ordered metric spaces. | URI: | http://hdl.handle.net/10553/42752 | ISSN: | 1085-3375 | DOI: | 10.1155/2012/803417 | Source: | Abstract and Applied Analysis[ISSN 1085-3375],v. 2012 (803417) |
Appears in Collections: | Artículos |
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