Work

β -Ulam stability results for Atangana–Baleanu–Caputo fractional equations with non-instantaneous impulsive boundary conditions

Year: 2025

Type: article

Abstract: Numerous fixed point theorems (FPTs) are crucial for scientific research in the domains of engineering and science. The main goal of this article is to examine the β -Ulam-Hyers stability for non-instantaneous impulsive fractional integro-differential equations with Atangana–Baleanu–Caputo ( AB -Caputo) fractional derivative in a Banach space. Moreover, Banach Contraction Mapping Principle (BCMP) and Krasnoselskii fixed point theorems (KFPT) are utilized to prove the uniqueness and existence theorems. At the end, an example is discussed to validate the analytical result. Thus, we generalize a number of previous results.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2025.04.005

Authors: El-sayed El-hady, K. Venkatachalam, G.S. Murugapandian, Tania A. Lazar, Vasile Lazar, Liliana Guran

Institutions: Jouf University, Technical University of Cluj-Napoca, Vasile Goldis Western University of Arad, Babeș-Bolyai University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funder: Lancaster University