Existence of solution for non-linear functional integral equations of two variables in Banach algebra

HM Srivastava, A Das, B Hazarika, SA Mohiuddine - symmetry, 2019 - mdpi.com
The aim of this article is to establish the existence of the solution of non-linear functional
integral equations x (l, h)= U (l, h, x (l, h))+ F l, h,∫ 0 l∫ 0 h P (l, h, r, u, x (r, u)) drdu, x (l, h)× …

Study on existence of solutions for some nonlinear functional–integral equations

K Maleknejad, R Mollapourasl, K Nouri - Nonlinear Analysis: Theory …, 2008 - Elsevier
Using the technique of measures of noncompactness in Banach algebra, we employ
abstract fixed point theorems such as Darbo's theorem to study the existence solution in …

On existence theorems for some generalized nonlinear functional-integral equations with applications

LN Mishra, M Sen, RN Mohapatra - Filomat, 2017 - JSTOR
In the present paper, utilizing the techniques of suitable measures of noncompactness in
Banach algebra, we prove an existence theorem for nonlinear functional-integral equation …

[PDF][PDF] On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem

M Kazemi - International Journal of Nonlinear Analysis and …, 2022 - ijnaa.semnan.ac.ir
In this research, we analyze the existence of solution for some nonlinear functional integral
equations using the techniques of measures of noncompactness and the Petryshyn's fixed …

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

A Deep, Deepmala… - Journal of Integral …, 2021 - projecteuclid.org
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 …

[HTML][HTML] Existence of solutions for a class of system of functional integral equation via measure of noncompactness

JR Roshan - Journal of Computational and Applied Mathematics, 2017 - Elsevier
In this paper, we give some generalization of Darbo's fixed point theorem related to the
measure of noncompactness, and present some results on the existence of coupled fixed …

On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

A Deep, Deepmala, C Tunç - Arab Journal of Basic and Applied …, 2020 - Taylor & Francis
In this article, we establish some results for the existence of solution of nonlinear functional
integral equations by using Darbo's fixed point theorem in Banach algebra. As an …

Existence results for some nonlinear functional-integral equations in Banach algebra with applications

LN Mishra, HM Srivastava, M Sen - International Journal of Analysis …, 2016 - etamaths.com
In the present manuscript, we prove some results concerning the existence of solutions for
some nonlinear functional-integral equations which contains various integral and functional …

The technique of measures of noncompactness in Banach algebras and its applications to integral equations

J Banaś, S Dudek - Abstract and Applied Analysis, 2013 - Wiley Online Library
We study the solvability of some nonlinear functional integral equations in the Banach
algebra of real functions defined, continuous, and bounded on the real half axis. We apply …

Applications of measure of noncompactness and Darbo's fixed point theorem to nonlinear integral equations in Banach spaces

Ü Çakan, İ Özdemir - Numerical Functional Analysis and …, 2017 - Taylor & Francis
We prove a theorem on the existence of solutions of some nonlinear functional integral
equations in the Banach algebra of continuous functions on the interval [0, a]. Then we …