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Title: | Positive and nondecreasing solutions to an m-point boundary value problem for nonlinear fractional differential equation | Authors: | Cabrera, I. J. Harjani, J. Sadarangani, K. B. |
UNESCO Clasification: | 120215 Ecuaciones integrales | Keywords: | Theorems | Issue Date: | 2012 | Project: | Analisis No Lineal y Aplicaciones. | Journal: | Abstract and Applied Analysis | Abstract: | We are concerned with the existence and uniqueness of a positive and nondecreasing solution for the following nonlinear fractional m-point boundary value problem: Dα 0+ u (t) + f (t, u (t)) =0, 0 <t < 1, 2 < α ≤ 3, u(0) = u’(0) = 0, u’ (1) = ∑m−2 i=1 aiu’ (ξi), where Dα 0+ denotes the standard Riemann-Liouville fractional derivative, f : [0, 1] × [0,∞) → [0,∞) is a continuous function, ai ≥ 0 for i = 1, 2, . . . , m − 2, and 0 < ξ1 < ξ2 < · · · < ξm−2 < 1. Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also presented to illustrate the main results. | URI: | http://hdl.handle.net/10553/42753 | ISSN: | 1085-3375 | DOI: | 10.1155/2012/826580 | Source: | Abstract and Applied Analysis [ISSN 1085-3375], v. 2012 (826580) |
Appears in Collections: | Artículos |
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