Existence of solutions for a class of nonlinear Volterra singular integral equations
type: Item
instance of: scholarly article
title: Existence of solutions for a class of nonlinear Volterra singular integral equations
zbMATH Open document ID: 1228.45002
author: A. Aghajani
author: Y. Jalilian
author: Józef Banaś
publication date: 2011-12-18T00:00:00Z
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 5989262
zbMATH Keywords: Volterra singular integral equation
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: fixed point theorem
zbMATH Keywords: function of bounded variation
zbMATH Keywords: integral equation of Volterra
zbMATH Keywords: Stieltjes type
MaRDI profile type: Publication
full work available at URL: j.camwa.2011.03.049
OpenAlex ID: W2041552156
cites work: Q3695796
cites work: Q4831048
cites work: On the application of measure of noncompactness to the existence of solutions for fractional differential equations
cites work: Constant-sign solutions for systems of singular integral equations of Hammerstein type
cites work: A new approach to the theory of functional integral equations of fractional order
cites work: Monotonic solutions of a perturbed quadratic fractional integral equation
cites work: Q3064602
cites work: Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
cites work: Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
cites work: On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order
cites work: On solutions of an infinite system of singular integral equations
cites work: Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind
cites work: A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind
cites work: Nondecreasing solutions of a quadratic singular Volterra integral equation
cites work: On integrable solutions of a nonlinear Volterra integral equation under Carathéodory conditions
cites work: Existence results for boundary value problems with non-linear fractional differential equations
cites work: Q3629732
cites work: Q5699297
cites work: Q4233638
cites work: On a fractional generalization of the free electron laser equation.
cites work: Q3883053
cites work: Q4040886
cites work: On a class of quadratic integral equations with perturbation
cites work: Existence theorems for some quadratic integral equations
cites work: Existence theorems for an integral equation of the Chandrasekhar H- equation with perturbation
cites work: Q5796557
cites work: Integral equations arising in the kinetic theory of gases
cites work: Q3265777
cites work: On a class of Urysohn-Stieltjes quadratic integral equations and their applications
DOI: 10.1016/J.CAMWA.2011.03.049
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5989262