Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation

S Bazm, A Hosseini, JS Azevedo… - Journal of Computational …, 2024 - Elsevier
A general nonlinear functional integral equation has been studied. The considered equation
is of Fredholm type and includes some well-known integral or functional equations, as …

A sigmoid method for some nonlinear Fredholm integral equations of the second kind

JS Azevedo - Applied Numerical Mathematics, 2022 - Elsevier
In this work, we present a computational method for solving nonlinear Fredholm integral
equations of the second kind which are based on the use of smooth sigmoidal functions. The …

Application of sigmoidal operational matrix of integration and collocation method to numerically solve Hammerstein-type functional integral equations

F Pahlevani, S Bazm, JS Azevedo - Computational and Applied …, 2025 - Springer
In this research, we investigate a functional Volterra–Hammerstein integral equation,
providing conditions that ensure the existence and uniqueness of a solution in the space of …

Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations

S Bazm, F Pahlevani - Sahand Communications in …, 2024 - scma.maragheh.ac.ir
In this paper, the functional Volterra integral equations of the Hammerstein type are studied.
First, some conditions that ensure the existence and uniqueness of the solutions to these …

[PDF][PDF] Some Basic Results on Fuzzy Strong 𝝓-b-Normed Linear Spaces

S Bazm, F Pahlevani - julistb.sinaweb.net
In this paper, the functional Volterra integral equations of the Hammerstein type are studied.
First, some conditions that ensure the existence and uniqueness of the solutions to these …