Behaviour of the First-order q-Difference Equations

Mahmoud Belaghi; Murat Sari

doi:10.11121/ijocta.01.2021.00908

Authors

Mahmoud Belaghi Bahçeşehir University http://orcid.org/0000-0002-2838-3651
Murat Sari Yildiz Technical University http://orcid.org/0000-0003-0508-2917

DOI:

https://doi.org/10.11121/ijocta.01.2021.00908

Keywords:

q-difference equation, physical process, solution, algorithm

Abstract

Since the need to investigate many aspects of q-dierence equations cannot be ruled out, this article aims to explore response of the mechanism modelled by linear and nonlinear q-difference equations. Therefore, analysis of an important bundle of nonlinear q-difference equations, in particular the q-Bernoulli difference equation, has been developed. In this context, capturing the behaviour of the q-Bernoulli difference equation as well as linear q-difference equations are considered to be a significant contribution here. Illustrative examples related to the difference equations are also presented.

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Author Biographies

Mahmoud Belaghi, Bahçeşehir University

is an Assistant Professor of Mathematics at Bahcesehir University. He received the Bsc and Msc degrees in Statistics from Shahid Beheshti University and Tarbiat Moalem University, Iran, in 2001 and 2004, respectively, and PhD degree in Mathematics from Eastern Mediterranean University, Northern Cyprus, in 2013. His research interests are Quantum Calculus, Fractional Differential Equations, Number Theory, Classical Analysis, and Special Functions.

Murat Sari, Yildiz Technical University

is a Professor of Mathematics at Yildiz Technical University. He received the BSc degree from the Ondokuz Mayis University in 1991, and the Mphil (transferred) and PhD degrees in Mathematics from University of South Wales, UK, in 1997 and 2000, respectively. His current research interests include numerical solutions of differential equations, simulation and computational methods, computational fluid dynamics, modelling of nonlinear behavior, economical modelling, and biomechanical/biomedical modelling. He has over 70 high-quality scientific papers, around 50 conference proceedings, and written/translated various chapters in some books. He is a reviewer/editor for many international high-quality journals.

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