[HTML][HTML] Analysis of fractal fractional differential equations

A Atangana, A Akgül, KM Owolabi - Alexandria Engineering Journal, 2020 - Elsevier
Nonlocal differential and integral operators with fractional order and fractal dimension have
been recently introduced and appear to be powerful mathematical tools to model complex …

On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques

M Khater, B Ghanbari - The European Physical Journal Plus, 2021 - Springer
This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …

[HTML][HTML] New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method

KK Ali, MS Osman, M Abdel-Aty - Alexandria Engineering Journal, 2020 - Elsevier
This article presents soliton solutions to a generalized nonlinear Fokas-Lenells equation via
the Sine-Gordon expansion method. To uncover the clear picture of the gained solutions, the …

On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation

MMA Khater, MS Mohamed, RAM Attia - Chaos, Solitons & Fractals, 2021 - Elsevier
Through five latest numerical schemes (Adomian decomposition (AD), El Kalla (EK), cubic B-
spline (CBS), expanded Cubic B-Spline (ECBS), exponential cubic B-spline (ExCBS), this …

Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation

MMA Khater, D Lu - Modern Physics Letters B, 2021 - World Scientific
In this paper, the stable analytical solutions' accuracy of the nonlinear fractional nonlinear
time–space telegraph (FNLTST) equation is investigated along with applying the …

Diverse solitary and Jacobian solutions in a continually laminated fluid with respect to shear flows through the Ostrovsky equation

MMA Khater - Modern Physics Letters B, 2021 - World Scientific
In this paper, the generalized Jacobi elliptical functional (JEF) and modified Khater (MK)
methods are employed to find the soliton, breather, kink, periodic kink, and lump wave …

[HTML][HTML] Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

M Khater, S Anwar, KU Tariq, MS Mohamed - AIP Advances, 2021 - pubs.aip.org
This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger
equation through the modified Khater method. This method is considered one of the most …

[HTML][HTML] Dynamical analysis of the nonlinear complex fractional emerging telecommunication model with higher–order dispersive cubic–quintic

C Park, MMA Khater, AH Abdel-Aty, RAM Attia… - Alexandria Engineering …, 2020 - Elsevier
In this paper, a nonlinear fractional emerging telecommunication model with higher–order
dispersive cubic–quintic is studied by using two recent computational schemes. This kind of …

Advanced computational techniques for solving the modified KdV-KP equation and modeling nonlinear waves

MMA Khater - Optical and Quantum Electronics, 2024 - Springer
This research employs recent and precise computational techniques to identify new and
accurate solitary wave solutions of the modified Korteweg-de Vries-Kadomtsev-Petviashvili …

Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme

MMA Khater, KS Nisar… - Mathematical Methods in …, 2021 - Wiley Online Library
This manuscript employs the trigonometric Quintic B‐spline (TQBS) scheme for investigating
the numerical solution of the conformable fractional nonlinear time‐space telegraph …