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http://hdl.handle.net/10553/121720
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. | URI: | http://hdl.handle.net/10553/121720 | ISSN: | 1583-5022 | DOI: | 10.24193/fpt-ro.2021.1.13 | Source: | Fixed Point Theory, v. 22 (1), p. 189-204, (2021) |
Appears in Collections: | Artículos |
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