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Title: Positive solutions for a fractional boundary value problem via a mixed monotone operator
Authors: Harjani Saúco, Jackie Jerónimo 
López Brito, María Belén 
Sadarangani Sadarangani, Kishin Bhagwands 
UNESCO Clasification: 120219 Ecuaciones diferenciales ordinarias
Keywords: Fractional boundary value problem
Positive solution
Mixed monotone operator
Fixed point
Issue Date: 2021
Journal: Fixed Point Theory 
Abstract: In this paper, by using a mixed monotone operator method we study the existence and uniqueness of positive solutions to the following nonlinear fractional boundary value problem (Formula presented)where (Formula presented) denotes de Caputo fractional derivative, f: [0, 1] × [0, ∞) × [0, ∞) → [0, ∞) and g: [0, 1] × [0, ∞) → [0, ∞) are continuous functions and H is an operator (not necessarily linear) applying C[0, 1] into itself. Moreover, in order to illustrate our results, we present some examples.
ISSN: 1583-5022
DOI: 10.24193/fpt-ro.2021.1.13
Source: Fixed Point Theory, v. 22 (1), p. 189-204, (2021)
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