Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations

Yahya Almalki; Gul Rahmat; Atta Ullah; Fatima Shehryar; Muhammad Numan; Muhammad Usman Ali

doi:10.1155/2022/9462424

Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations

Comput Intell Neurosci. 2022 Sep 15:2022:9462424. doi: 10.1155/2022/9462424. eCollection 2022.

Authors

Yahya Almalki¹, Gul Rahmat², Atta Ullah², Fatima Shehryar², Muhammad Numan³, Muhammad Usman Ali³

Affiliations

¹ Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia.
² Department of Mathematics, Islamia College Peshawar, Peshawar, Pakistan.
³ Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan.

Abstract

This paper describes the existence and uniqueness of the solution, β-Hyers-Ulam-Rassias stability and generalized β-Hyers-Ulam-Rassias stability of an impulsive difference system on bounded and unbounded discrete intervals. At the end, an example is given to illustrate the theoretical result.