Author

Z. Alqahtani

4 papers indexed here

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Open access Sep 2026

Möbius Reduction, Exact Dynamics, and Fractional-Order Extensions of Arbitrary-Delay Rational Difference Equations

We present a unified framework for two nonlinear rational difference equations with arbitrary delay. A residue-class decomposition reduces each delayed equation to independent second-order recurrences. Product and quotient transformations then reduce these recurrences to first-order Möbius maps. This structure yields e...

B. Al-Hdaibat, Mahmoud H. DarAssi, A. Almuneef et al. · Fractal and Fractional · 0 citations

Open access Oct 2026

Comparative Analysis of Classical, Fractional, and Quantum Calculus Models for Measles Transmission Dynamics

This study presents three mathematical models of measles transmission that utilize pulse vaccination strategies: classical ordinary differential equations, Caputo fractional derivatives, and Jackson q-derivatives. The basic reproduction number R0 has been derived, and the global stability of equilibria has been investi...

Mahmoud H. DarAssi, B. Al-Hdaibat, Yousef AbuHour et al. · Fractal and Fractional · 0 citations

Aug 2026

Convergence Analysis and Analytical Approximation of Fractional Modified Camassa–Holm and Degasperis–Procesi Equations via a Hybrid Transform–Iterative Framework

This paper is devoted to the analytical investigation of fractional nonlinear dispersive equations arising in mathematical physics, namely the fractional modified Camassa–Holm (mCH) and modified Degasperis–Procesi (mDP) models. We develop a hybrid transform–iterative framework based on the Aboodh transform combined wit...

A. Almuneef, Z. Alqahtani, O. Arqub et al. · International Journal of Mod... · 0 citations

Open access Jul 2026

A Convergent and Stable Framework for the Fractional Kuramoto–Sivashinsky Equation

This work presents an efficient analytical framework based on the Natural Residual Power Series Method (NRPSM) for solving several forms of the time-fractional Kuramoto–Sivashinsky equation with the Caputo derivative. The proposed method avoids discretization and linearization while producing rapidly convergent analyti...

Z. Alqahtani, A. Hagag · Symmetry · 0 citations