Author

A. Hagag

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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