On the Ulam stabilities of nonlinear integral equations and integro‐differential equations-Reference-Cited by-同舟云学术

On the Ulam stabilities of nonlinear integral equations and integro‐differential equations

Published:2024-01-11 Issue:6 Volume:47 Page:4014-4028
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Tunç Osman¹^ORCID,Tunç Cemil²^ORCID,Petruşel Gabriela³^ORCID,Yao Jen‐Chih⁴

Affiliation:

1. Department of Computer Programing, Baskale Vocational School Van Yuzuncu Yil University Campus Van Turkey

2. Department of Mathematics, Faculty of Sciences Van Yuzuncu Yil University Campus Van Turkey

3. Department of Business ”Babeş‐Bolyai” University of Cluj‐Napoca Cluj‐Napoca Romania

4. Research Center for Interneural Computing China Medical University Hospital, China Medical University Taichung Taiwan

Abstract

In this research, two systems of nonlinear Volterra integral equation and Volterra integro‐differential equation were considered. New results in sense of Ulam stabilities in relation to these two systems were proved on a finite interval. The proof of the results on the Ulam stabilities of that classes of the equations are based on the nonlinear alternative related to Banach's contraction principle. The outcomes of this research give new contribution to the theory of Ulam stabilities.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9800

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