Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/42751
Title: Positive solutions of nonlinear fractional differential equations with integral boundary value conditions
Authors: Caballero, J. 
Cabrera, I. 
Sadarangani, K. 
UNESCO Clasification: 120215 Ecuaciones integrales
Keywords: Existence
Uniqueness
Theorems
Issue Date: 2012
Journal: Abstract and Applied Analysis 
Abstract: We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions CDαu(t) + f(t,u(t)) = 0, 0 < t < 1, u (0) = u’’ (0) = 0, u (1) = λ10 u (s) ds, where 2 < α < 3, 0 < λ < 2 and CDα is the Caputo fractional derivative and f : [0, 1] × [0,∞) → [0,∞] is a continuous function. Our analysis relies on a fixed point theorem in partially ordered sets. Moreover, we compare our results with others that appear in the literature.
URI: http://hdl.handle.net/10553/42751
ISSN: 1085-3375
DOI: 10.1155/2012/303545
Source: Abstract And Applied Analysis[ISSN 1085-3375], (2012)
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