Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative
type: Item
instance of: scholarly article
title: Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative
zbMATH Open document ID: 1263.35216
author: Yanyan Li
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2013-05-02T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6160137
zbMATH Keywords: fractional differential equation
zbMATH Keywords: fixed point
zbMATH Keywords: positive solution
zbMATH Keywords: cone
zbMATH Keywords: Avery-Peterson fixed point theorem
Wikidata QID: Q115358682
MaRDI profile type: Publication
full work available at URL: j.cnsns.2012.04.010
OpenAlex ID: W1992574746
cites work: Q4842164
cites work: Q3141902
cites work: Q5446046
cites work: Q5451099
cites work: Nagumo-type uniqueness result for fractional differential equations
cites work: A Krasnoselskii-Krein-type uniqueness result for fractional differential equations
cites work: Theory of fractional functional differential equations
cites work: Existence of fractional differential equations
cites work: The existence of a positive solution for a nonlinear fractional differential equation
cites work: Existence of positive solution for some class of nonlinear fractional differential equations
cites work: Existence of positive solutions of nonlinear fractional differential equations
cites work: Positive solutions for boundary value problem of nonlinear fractional differential equation
cites work: Q3378412
cites work: A singular boundary value problem for nonlinear differential equations of fractional order
cites work: Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
cites work: Boundary value problem for a coupled system of nonlinear fractional differential equations
cites work: Positive solutions for boundary value problems of nonlinear fractional differential equation
cites work: Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
cites work: Existence of a positive solution to a class of fractional differential equations
cites work: The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
cites work: Positive solutions for a class of singular fractional boundary value problems
cites work: Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
cites work: On positive solutions of a nonlocal fractional boundary value problem
cites work: On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
cites work: Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
cites work: Positive solutions for a nonlocal fractional differential equation
cites work: On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order
cites work: Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
cites work: Positive solutions for fractional four-point boundary value problems
cites work: Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem
cites work: Three positive fixed points of nonlinear operators on ordered Banach spaces
cites work: Multiplicity results for second-order \(m\)-point boundary value problem
cites work: Triple positive solutions for boundary value problems on infinite intervals
cites work: Symmetric solutions of a multi-point boundary value problem
cites work: Multiple positive solutions for second-order four-point boundary value problem
cites work: Triple positive solutions for a class of boundary value problem of second-order functional differential equations
cites work: Existence of three positive solutions for \(m\)-point boundary-value problems with one-dimensional \(p\)-Laplacian
DOI: 10.1016/J.CNSNS.2012.04.010
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description: scientific article; zbMATH DE number 6160137