Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it

DOI10.1016/j.cam.2018.05.011zbMath1390.34033OpenAlexW2807558964MaRDI QIDQ1643852

Reza Arab, Bipan Hazarika, Mohsen Rabbani, Hari M. Srivastava

Publication date: 20 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.05.011

zbMATH Keywords

measure of noncompactnesssystem of integral equationshomotopy perturbation methodMeir-Keeler condensing operator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Banach sequence spaces (46B45) Numerical methods for ordinary differential equations (65L99)

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