Solvability for generalized nonlinear functional integral
          equations in Banach spaces with applications

Amar Deep; Deepmala; Jamal Rezaei Roshan

doi:10.1216/jie.2021.33.19

Abstract

We study the solvability of integral equations using Darbo’s fixed point theorem in Banach algebra. We prove the existence of the solution for nonlinear functional integral equations, which contain various functional integral equations in the nonlinear analysis. A numerical example showing the specified existence of our main results.

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Amar Deep. Deepmala. Jamal Rezaei Roshan. "Solvability for generalized nonlinear functional integral equations in Banach spaces with applications." J. Integral Equations Applications 33 (1) 19 - 30, Spring 2021. https://doi.org/10.1216/jie.2021.33.19

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Received: 10 December 2019; Revised: 28 February 2020; Accepted: 15 May 2020; Published: Spring 2021

First available in Project Euclid: 11 June 2021

Digital Object Identifier: 10.1216/jie.2021.33.19

Subjects:

Primary: 31A10

Secondary: 47H08

Keywords: Banach Algebra , fixed point Theorem , functional integral equation (FIE) , measure of noncompactness (MNC) , modified homotopy method (MHP)

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