A numerical method for solvability of some non-linear functional integral equations
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摘要
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.
论文关键词：Fixed point theorem,Banach algebra,Functional integral equation(FIE),Measure of non-compactness(MNC),Modified homotopy perturbation (MHP)
论文评审过程：Received 14 March 2020, Revised 8 August 2020, Accepted 15 August 2020, Available online 23 February 2021, Version of Record 23 February 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125637
