Work

β–Ulam–Hyers Stability and Existence of Solutions for Non-Instantaneous Impulsive Fractional Integral Equations

Year: 2024

Type: article

Abstract: In this paper, we investigate a class of non-instantaneous impulsive fractional integral equations. Utilizing the Banach contraction mapping principle, we establish the existence and uniqueness of solutions for the considered problem. Additionally, employing Schauder’s fixed-point theorem, we demonstrate the existence of solutions within the framework of β-Banach spaces. Moreover, we examine the β–Ulam–Hyers stability of the solutions, providing insights into the stability behavior under small perturbations. An illustrative example is presented to demonstrate the practical applicability and effectiveness of the theoretical results obtained.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8080469

Authors: Wei-Shih Du, Michal Fečkan, Marko Kostić, Daniel Velinov

Institutions: National Kaohsiung Normal University, Comenius University Bratislava, University of Novi Sad, Ss. Cyril and Methodius University in Skopje

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funders: National Science and Technology Council, Vedecká Grantová Agentúra MŠVVaŠ SR a SAV