Multiple positive solutions for quadratic integral equations of fractional order
type: Item
instance of: scholarly article
title: Multiple positive solutions for quadratic integral equations of fractional order
zbMATH Open document ID: 1376.45010
DOI: 10.1155/2017/4571067
author: Hui-Sheng Ding
author: Manman Liu
author: Juan J. Nieto
published in: Journal of Function Spaces
publication date: 2017-11-01T00:00:00Z
review text: Summary: In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. We believe that this is a first result concerning the existence of multiple solutions for such quadratic integral equation of fractional order.
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6802001
zbMATH Keywords: multiple positive solutions
zbMATH Keywords: quadratic integral equations
zbMATH Keywords: fractional order
Wikidata QID: Q60199265
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4571067
OpenAlex ID: W2760978348
cites work: On a quadratic integral equation with supremum involving Erdélyi-Kober fractional order
cites work: On Erdélyi-Kober fractional Urysohn-Volterra quadratic integral equations
cites work: Local attractivity and stability analysis of a nonlinear quadratic fractional integral equation
cites work: Leray-Schauder-type fixed point theorems in Banach algebras and application to quadratic integral equations
cites work: On a class of quadratic Urysohn-Hammerstein integral equations of mixed type and initial value problem of fractional order
cites work: On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order
cites work: Existence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations
cites work: Q3452430
cites work: Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra
cites work: Two positive fixed points of nonlinear operators on ordered Banach spaces
cites work: Q3854213
description: scientific article; zbMATH DE number 6802001