Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness

Mohsen Rabbani, Reza Arab and Bipan Hazarika

Applied Mathematics and Computation, 2019, vol. 349, issue C, 102-117

Abstract: The aim of this article is to prove the existence of solution for nonlinear quadratic integral equations using the generalized form of Darbo fixed point theorem with the help of measure of noncompactness and simulation type condensing operator in the Banach space L2[0, 1]. To illustrate validity of the analytical results, we present a nonlinear integral equation as an application. Finally, we introduce an iteration algorithm by modified homotopy perturbation and Adomian decomposition method to find solution of the above problem with a high accuracy.

Keywords: Fixed point theory; Nonlinear quadratic integral equations; Measure of noncompactness; Simulation function; Homotopy perturbation method (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:102-117

DOI: 10.1016/j.amc.2018.12.033

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