Work

Solvability of a Nonlinear Integro-Differential Equations via Fixed Point Theorem

Year: 2026

Type: article

Abstract: The aim of the current research, is to investigate the existence of solutions to nonlinear integral-differential equations. It is natural that to establish these innovation achievement, we need mathematical analysis tools in the framework of Banach space, specifically measures of non-compactness and effective fixed point theorem of Petryshyn. Also, based on fixed point theory, we introduce a robust approach to provide the existence of solutions to this type nonlinear equation. Eventually, we examine the applicability of our results by several examples of the equations which can be generalized to a wide range of integral equations.

Source: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

DOI: 10.31801/cfsuasmas.1631378

Authors: Hamid Reza Sahebi, Manochehr Kazemi, Amar Deep

Institutions: Islamic Azad University, Ashtian Branch, Islamic Azad University, Tehran, IIMT University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7166711308

FWCI:

Cites: 28

Cited by:

Related to: