A numerical method for solvability of some non-linear functional integral equations

Amar Deep, Deepmala, and Mohsen Rabbani

Applied Mathematics and Computation, 2021, vol. 402, issue C

Abstract: In this article, we prove the existence of solution for some non-linear functional integral equations of two variables in Banach algebra C([0,b][0,c],R),b,c>0, which is the generalized the results of several papers. We use the idea of Darbo fixed point theorem for the product of operators in the above space. Modified homotopy perturbation method to solve these types of non-linear functional integral equations is also explained with a supporting example.

Keywords: Fixed point theorem; Banach algebra; Functional integral equation(FIE); Measure of non-compactness(MNC); Modified homotopy perturbation (MHP) (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300320305919

DOI: 10.1016/j.amc.2020.125637

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