Symmetric difference operator in quantum calculus

W Zhao, V Rexma Sherine, TG Gerly… - Symmetry, 2022 - mdpi.com
The main focus of this paper is to develop certain types of fundamental theorems using q, q
(α), and h difference operators. For several higher order difference equations, we get two …

A Method for Performing the Symmetric Anti-Difference Equations in Quantum Fractional Calculus

VR Sherine, TG Gerly, P Chellamani, EHA Al-Sabri… - Symmetry, 2022 - mdpi.com
In this paper, we develop theorems on finite and infinite summation formulas by utilizing the
q and (q, h) anti-difference operators, and also we extend these core theorems to q (α) and …

[PDF][PDF] Oscillation behavior of second-order self-adjoint -difference equations

A Zafer, ZN Gürkan - AIMS Mathematics, 2024 - aimspress.com
In this study, we investigate the oscillation behavior of second-order self-adjoint qdifference
equations, focusing on the renowned Leighton oscillation theorem. Through an example, we …