Work

An Effective Approach Towards the Existence of a Nonlinear Functional Integro-differential Equations

Year: 2024

Type: preprint

Abstract: The purpose of this paper is to demonstrate the existence of a solution for a functional integro-differential equation. To achieve this, we employ noncompactness measures and utilize fundamental fixed point theorems, such as Petryshyn’s fixed theorem, in the framwork of Banach spaces. Then this paper introduces a robust approach, based on fixed point theory, for proving the existence of solutions to the integro-differential equation. Finally, we present several examples of equations to demonstrate the applicability of our results to a broad range of integral equations.

Source: Research Square

DOI: 10.21203/rs.3.rs-4421149/v1

Authors: Manochehr Kazemi, Amar Deep, Hamid Reza Sahebi

Institutions: Islamic Azad University, Tehran, IIMT College of Engineering, Greater Noida, IIMT University, Islamic Azad University, Ashtian Branch

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4398780321

Cites: 11

Cited by:

Related to: 10