[HTML][HTML] Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

S Saifullah, N Fatima, SAM Abdelmohsen… - Alexandria Engineering …, 2023 - Elsevier
In this manuscript, we study new solutions of generalized version of geophysical KdV
equation which is called generalized perturbed KdV (gpKdV) under time–space …

[HTML][HTML] A novel analytical approach for solving partial differential equations via a tensor product theory of Banach spaces

WG Alshanti, IM Batiha, R Khalil - Partial Differential Equations in Applied …, 2023 - Elsevier
In this paper, we aim to propose a novel analytical method for obtaining atomic solutions to
partial differential equations. A theory of tensor products in Banach spaces is utilized and …

[PDF][PDF] A numerical scheme for dealing with fractional initial value problem

IM Batiha, A Bataihah, AA Al-Nana, S Alshorm… - International Journal of …, 2023 - ijicic.org
This paper aims to present a new numerical modification for solving fractional initial value
problem. The proposed modification, which is named Modified Fractional Euler Method …

[HTML][HTML] A numerical confirmation of a fractional-order COVID-19 model's efficiency

IM Batiha, A Obeidat, S Alshorm, A Alotaibi, H Alsubaie… - Symmetry, 2022 - mdpi.com
In the past few years, the world has suffered from an untreated infectious epidemic disease
(COVID-19), caused by the so-called coronavirus, which was regarded as one of the most …

Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam–Hyers stability and travelling waves

K Bensassa, Z Dahmani, M Rakah… - … and Mathematical Physics, 2024 - Springer
In this paper, we study a coupled system of beam deflection type that involves nonlinear
equations with sequential Caputo fractional derivatives. Under flexible/fixed end-conditions …

[PDF][PDF] Fractional calculus in beam deflection: analyzing nonlinear systems with Caputo and conformable derivatives

A Lamamri, I Jebril, Z Dahmani, A Anber… - AIMS …, 2024 - aimspress.com
In this paper, our study is divided into two parts. The first part involves analyzing a coupled
system of beam deflection type that involves nonlinear equations with sequential Caputo …

[PDF][PDF] The tanh method and the (G′/G)-expansion method for solving the space-time conformable FZK And FZZ evolution equations

A Anber, I Jebril, Z Dahmani, N Bedjaoui… - International Journal of …, 2024 - ijicic.org
In this paper, we apply the (G′ G)-expansion and the Tanh methods to finding exact
traveling wave solutions of the space and time fractional Zakharov-Kuznetsov (FZK) …

A novel solution approach for time-fractional hyperbolic telegraph differential equation with caputo time differentiation

M Alaroud, AK Alomari, N Tahat, S Al-Omari, A Ishak - Mathematics, 2023 - mdpi.com
In the current analysis, a specific efficient and applicable novel solution approach, based on
a fractional power series technique and Laplace transform operator, is considered to predict …

An Algorithm for Solving Linear and Non-Linear Volterra Integro-Differential Equations.

NR Anakira, A Almalki, D Katatbeh… - … of Advances in Soft …, 2023 - search.ebscohost.com
Using Mathematica computer software, a numerical procedure called the modified Adomian
decomposition method (MADM) is successfully implemented for obtaining exact solutions of …