[HTML][HTML] New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G, 1/G-expansion method

MA Iqbal, D Baleanu, MM Miah, HMS Ali, HM Alshehri… - Results in Physics, 2023 - Elsevier
In the electrical transmission lines, the processing of cable signals distribution, computer
networks, high-speed computer databases and discrete networks can be investigated by the …

[HTML][HTML] Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

M Bilal, J Iqbal, K Shah, B Abdalla… - … Differential Equations in …, 2024 - Elsevier
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations
(NFPDEs) has gained prominence recently because of its ability to realistically recreate …

Sharp bounds of the Fekete–Szegö problem and second hankel determinant for certain bi-Univalent Functions Defined by a novel q-differential Operator associated …

TG Shaba, S Araci, BO Adebesin, F Tchier… - Fractal and …, 2023 - mdpi.com
In this present paper, we define a new operator in conjugation with the basic (or q-) calculus.
We then make use of this newly defined operator and define a new class of analytic and bi …

New bright and kink soliton solutions for fractional complex Ginzburg–Landau equation with non-local nonlinearity term

M Alabedalhadi, M Al-Smadi, S Al-Omari, Y Karaca… - Fractal and …, 2022 - mdpi.com
In this paper, we aim to discuss a fractional complex Ginzburg–Landau equation by using
the parabolic law and the law of weak non-local nonlinearity. Then, we derive dynamic …

A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation

M Fardi, SKQ Al-Omari, S Araci - Advances in Continuous and Discrete …, 2022 - Springer
In this paper, we focus on the development and study of the finite difference/pseudo-spectral
method to obtain an approximate solution for the time-fractional diffusion-wave equation in a …

Traveling wave solutions for time-fractional mKdV-ZK equation of weakly nonlinear ion-acoustic waves in magnetized electron–positron plasma

M Alabedalhadi, S Al-Omari, M Al-Smadi, S Alhazmi - Symmetry, 2023 - mdpi.com
In this paper, we discuss the time-fractional mKdV-ZK equation, which is a kind of physical
model, developed for plasma of hot and cool electrons and some fluid ions. Based on the …

[PDF][PDF] NOVEL TRAVELING-WAVE SOLUTIONS OF SPATIAL-TEMPORAL FRACTIONAL MODEL OF DYNAMICAL BENJAMIN–BONA–MAHONY SYSTEM

M Al-Smadi, S Al-Omari, S Alhazmi, Y Karaca… - Fractals, 2023 - researchgate.net
This paper investigates the dynamics of exact travelling-wave solutions for nonlinear spatial
and temporal fractional partial differential equations with conformable order derivatives …

[HTML][HTML] Numerical investigation of a fractional model of a tumor-immune surveillance via Caputo operator

S Alshammari, M Alshammari, M Alabedalhadi… - Alexandria Engineering …, 2024 - Elsevier
Fractional calculus has become a potent tool for simulating the complexity of interactions in
tumor-immune system dynamics. This paper investigates the existence and uniqueness of …

Results on Univalent Functions Defined by q-Analogues of Salagean and Ruscheweh Operators

E Amini, M Fardi, S Al-Omari, K Nonlaopon - Symmetry, 2022 - mdpi.com
In this paper, we define and discuss properties of various classes of analytic univalent
functions by using modified q-Sigmoid functions. We make use of an idea of Salagean to …

Analytical computational scheme for multivariate nonlinear time-fractional generalized biological population model

M Alaroud, AK Alomari, N Tahat, A Ishak - Fractal and Fractional, 2023 - mdpi.com
This work provides exact and analytical approximate solutions for a non-linear time-
fractional generalized biology population model (FGBPM) with suitable initial data under the …