Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/44254
Title: Existence and uniqueness of positive solution for a boundary value problem of fractional order
Authors: Sadarangani, K. 
Harjani, J. 
Harjani, J. 
UNESCO Clasification: 120215 Ecuaciones integrales
Keywords: Differential-Equations
Calculus Approach
Issue Date: 2011
Project: Analisis No Lineal y Aplicaciones. 
Journal: Abstract and Applied Analysis 
Abstract: We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: D 0+ α u (t) + f (t, u (t)) = 0, 0 ≤ t ≤ 1, 3 < α ≤ 4, u (0) = u ′ (0) = u″ (0) = u″ (1) = 0, where D0+ α denotes the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also given to illustrate the results.
URI: http://hdl.handle.net/10553/44254
ISSN: 1085-3375
DOI: 10.1155/2011/165641
Source: Abstract and Applied Analysis [ISSN 1085-3375], v. 2011 (165641)
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