Existence results for singular boundary value problem of nonlinear fractional differential equation
type: Item
instance of: scholarly article
title: Existence results for singular boundary value problem of nonlinear fractional differential equation
zbMATH Open document ID: 1217.34034
DOI: 10.1155/2011/605614
author: Yujun Cui
published in: Abstract and Applied Analysis
publication date: 2011-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/223026
review text: Summary: By applying a fixed point theorem for mappings that are decreasing with respect to a cone, this paper investigates the existence of positive solutions for the nonlinear fractional boundary value problem: \[ D^\alpha_{0^+}u(t)+f(t,u(t))=0, \quad 0<t<1, \] \[ u(0)=u'(0)=u'(1)=0, \] where \(2<\alpha<3\), \(D^\alpha_{0^+}\) is the Riemann-Liouville fractional derivative.
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 5888146
zbMATH Keywords: singular boundary value problem
zbMATH Keywords: nonlinear fractional differential equation
zbMATH Keywords: Riemann-Liouville fractional derivative
MaRDI profile type: Publication
OpenAlex ID: W2048637768
Wikidata QID: Q58654344
cites work: Q3161239
cites work: Analysis of the critical line network for the van der Waals equation at the van Laar point
cites work: Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
cites work: Existence of solution for a boundary value problem of fractional order
cites work: Positive solutions for boundary value problem of nonlinear fractional differential equation
cites work: Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
cites work: Singular nonlinear boundary value problems for second-order ordinary differential equations
cites work: Singular \((k,n-k)\) boundary value problems between conjugate and right focal
cites work: Q4365376
cites work: Q4212840
cites work: Existence results for singular three point boundary value problems on time scales
cites work: Solvability of a third-order two-point boundary value problem
cites work: The existence of solution for a third-order two-point boundary value problem
cites work: Q5185568
cites work: Q3994493
description: scientific article; zbMATH DE number 5888146