Application of fixed point theorem to solvability for non-linear fractional hadamard functional integral equations

VK Pathak, LN Mishra - Mathematics, 2022 - mdpi.com
In the present paper, our main work aims to discover the existence result of the fractional
order non-linear Hadamard functional integral equations on [1, a] by employing the theory of …

Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type

S Bazm, P Lima, S Nemati - Journal of Computational and Applied …, 2021 - Elsevier
In this paper, we investigate nonlinear functional Volterra–Urysohn integral equations, a
class of nonlinear integral equations of Volterra type. The existence and uniqueness of the …

[图书][B] An introduction to nonlinear analysis and fixed point theory

HK Pathak - 2018 - Springer
Nonlinear analysis is the fascinating emerging field of the twenty-first century characterized
by a remarkable mixture of nonlinear functional analysis, nonlinear operator theory …

[HTML][HTML] A comprehensive analysis for weakly singular nonlinear functional Volterra integral equations using discretization techniques

IA Bhat, LN Mishra, VN Mishra, M Abdel-Aty… - Alexandria Engineering …, 2024 - Elsevier
This study investigates weakly singular nonlinear functional Volterra integral equations
(WSNFVIEs) of Urysohn type involving Riemann–Liouville operator. By imposing specific …

[PDF][PDF] Existence of solutions for some nonlinear Volterra integral equations via Petryshyn's fixed point theorem

M Kazemi, R Ezzati - International Journal of Nonlinear Analysis …, 2018 - ijnaa.semnan.ac.ir
In this paper, we study the existence of solutions of some nonlinear Volterra integral
equations by using the techniques of measures of noncompactness and the Petryshyn's …

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

A Deep, M Rabbani - Applied Mathematics and Computation, 2021 - Elsevier
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 …

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 …

Application of Petryshyn's fixed point theorem to solvability for functional integral equations

A Deep, R Ezzati - Applied Mathematics and Computation, 2021 - Elsevier
In this article, we establish the existence of solution for some functional integral equations by
Petryshyn's fixed point theorem in Banach algebra. Our existence results cover several …

Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness

M Kazemi, R Ezzati - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, we analyze the existence of solution for two-dimensional nonlinear Volterra
integral equations (2DVIE) by using the techniques of measures of noncompactness and …

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 …