Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it
type: Item
instance of: scholarly article
title: Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it
zbMATH Open document ID: 1390.34033
author: Bipan Hazarika
author: R. Arab
author: M. Rabbani
author: H. M. Srivastava
published in: Journal of Computational and Applied Mathematics
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 46B45
zbMATH DE Number: 6892274
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: Meir-Keeler condensing operator
zbMATH Keywords: system of integral equations
zbMATH Keywords: homotopy perturbation method
MaRDI profile type: Publication
full work available at URL: j.cam.2018.05.011
OpenAlex ID: W2807558964
cites work: Q3883053
cites work: Solvability of infinite systems of differential equations in Banach sequence spaces
cites work: Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
cites work: Application of measure of noncompactness to \(\ell_{1}\)-solvability of infinite systems of second order differential equations
cites work: Application of measures of noncompactness to the infinite system of second-order differential equations in \(\ell_{p}\) spaces
cites work: On solutions of an infinite system of singular integral equations
cites work: Q3396119
cites work: Q2975379
cites work: A generalization of Darbo's theorem with application to the solvability of systems of integral equations
cites work: Application of measures of noncompactness to infinite system of linear equations in sequence spaces
cites work: Corrigendum to: ``Krasnosel'skii type hybrid fixed point theorems and their applications to fractional integral equations''
cites work: Q5699297
cites work: Metric-like spaces to prove existence of solution for nonlinear quadratic integral equation and numerical method to solve it
cites work: A theorem on contraction mappings
cites work: Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness
cites work: Q4716265
cites work: Existence of coupled fixed points via measure of noncompactness and applications
cites work: Some generalizations of Darbo fixed point theorem and applications
cites work: Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
cites work: Nonlinear Integral Equations of the Second Kind: A New Version of Nyström Method
cites work: Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it
cites work: Q5200269
cites work: A new approach to nonlinear partial differential equations
cites work: An approximate solution technique not depending on small parameters: A special example
cites work: Application of homotopy perturbation method for systems of Volterra integral equations of the first kind
cites work: He's homotopy perturbation method for systems of integro-differential equations
cites work: New homotopy perturbation method for a special kind of Volterra integral equations in two-dimensional space
cites work: Q2944281
cites work: Solving frontier problems of physics: the decomposition method
DOI: 10.1016/J.CAM.2018.05.011
description: scientific article; zbMATH DE number 6892274