Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation
type: Item
instance of: scholarly article
title: Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation
zbMATH Open document ID: 1222.34006
DOI: 10.1155/2011/986575
author: Moustafa El-Shahed
author: W. Shammakh
published in: Abstract and Applied Analysis
publication date: 2011-07-22T00:00:00Z
review text: Summary: We investigate an \(m\)-point boundary value problem for nonlinear fractional differential equations. The associated Green function for the boundary value problem is given, and some useful properties of the Green function are obtained. By using the fixed-point theorems of cone expansion and compression of norm type and Leggett-Williams fixed-point theorem, the existence of multiple positive solutions is obtained.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 5930800
Wikidata QID: Q58654595
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/986575
OpenAlex ID: W2099394360
cites work: On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
cites work: On positive solutions of a nonlocal fractional boundary value problem
cites work: Boundary value problems for differential equations with fractional order and nonlocal conditions
cites work: Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order
cites work: Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
cites work: Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
cites work: Nonlocal and multiple-point boundary value problem for fractional differential equations
cites work: Q3820938
cites work: Green's function and positive solutions of \(n\)th order \(m\)-point boundary value problem
cites work: Loss of positivity in a nonlinear second order ordinary differential equations
cites work: Three positive solutions for a nonlinear \(n\)th-order \(m\)-point boundary value problem
cites work: Multiple positive solutions for \(n\)th order multipoint boundary value problem
cites work: Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem
cites work: Q3558150
cites work: Existence of a positive solution to a class of fractional differential equations
cites work: Positive solutions to singular boundary value problem for nonlinear fractional differential equation
cites work: Q5699297
cites work: Q3994493
cites work: Q3603208
cites work: Q3854213
description: scientific article; zbMATH DE number 5930800