A contraction fixed point theorem in partially ordered metric spaces and application to fractional differential equations
type: Item
instance of: scholarly article
title: A contraction fixed point theorem in partially ordered metric spaces and application to fractional differential equations
zbMATH Open document ID: 1296.54097
DOI: 10.1155/2012/856302
author: Xiangbing Zhou
author: Wenquan Wu
author: Hongjiang Ma
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We generalize a fixed point theorem in partially ordered complete metric spaces in the study of \textit{A. Amini-Harandi} and \textit{H. Emami} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2238--2242 (2010; Zbl 1197.54054)]. We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54F05
Mathematics Subject Classification ID: 54E50
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6134176
zbMATH Keywords: fractional differential equation
zbMATH Keywords: partially ordered metric space
zbMATH Keywords: existence of solutions
zbMATH Keywords: fixed point
zbMATH Keywords: complete metric space
zbMATH Keywords: multipoint boundary value problem
zbMATH Keywords: fractional derivative
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/856302
OpenAlex ID: W2008581402
Wikidata QID: Q58696956
cites work: On Contractive Mappings
cites work: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
cites work: Existence and uniqueness of positive solutions for a singular fractional three-point boundary value problem
cites work: Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions
cites work: Fixed point theorems for weakly contractive mappings in partially ordered sets
cites work: Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity
cites work: Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
cites work: The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
cites work: Positive solutions of eigenvalue problems for a class of fractional differential equations with derivatives
cites work: Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
cites work: Positive solutions of a fractional boundary value problem with changing sign nonlinearity
cites work: Uniqueness and asymptotic behavior of positive solutions for a fractional-order integral boundary value problem
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q4438574
cites work: Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
description: scientific article; zbMATH DE number 6134176