[HTML][HTML] A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

A Burqan, A El-Ajou, R Saadeh, M Al-Smadi - Alexandria Engineering …, 2022 - Elsevier
In this article, we introduce a new technique to create a series solution to the time-fractional
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …

[HTML][HTML] Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

MD Ikram, MI Asjad, A Akgül, D Baleanu - Alexandria Engineering Journal, 2021 - Elsevier
In this paper, it has been discussed the fractional model of Brinkman type fluid (BTF) holding
hybrid nanoparticles. Titanium dioxide (T i O 2) and silver (Ag) nanoparticles were liquefied …

[HTML][HTML] A mathematical COVID-19 model considering asymptomatic and symptomatic classes with waning immunity

N Anggriani, MZ Ndii, R Amelia, W Suryaningrat… - Alexandria Engineering …, 2022 - Elsevier
The spread of COVID-19 to more than 200 countries has shocked the public. Therefore,
understanding the dynamics of transmission is very important. In this paper, the COVID-19 …

A variable coefficient third degree generalized Abel equation method for solving stochastic Schrödinger–Hirota model

MS Hashemi - Chaos, Solitons & Fractals, 2024 - Elsevier
Abstract The Stochastic Schrödinger–Hirota equation plays a crucial role in describing the
quantum behavior of physical systems under the influence of stochastic processes. In this …

[HTML][HTML] Nonlinear fractional mathematical model of tuberculosis (TB) disease with incomplete treatment under Atangana-Baleanu derivative

MU Rahman, M Arfan, Z Shah, P Kumam… - Alexandria Engineering …, 2021 - Elsevier
The current work investigates the mathematical model of Tuberculosis disease with
incomplete treatment under the Atangana-Baleanu-Caputo (ABC) derivative with fractional …

[HTML][HTML] A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water …

OA Arqub, M Al-Smadi, H Almusawa, D Baleanu… - Alexandria Engineering …, 2022 - Elsevier
The purpose of this research is to study, investigate, and analyze a class of temporal time-
FNEE models with time-FCDs that are indispensable in numerous nonlinear wave …

Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order

M Al‐Smadi - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The purpose of the present work is to analyze and investigate the analytical solution of the
seventh‐order fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations under …

A RGB image encryption technique using chaotic maps of fractional variable-order based on DNA encoding

LF Ávalos-Ruíz, CJ Zúñiga-Aguilar… - Chaos, Solitons & …, 2023 - Elsevier
This paper presents a controller-based synchronization scheme in a leader-follower
architecture for chaotic maps of fractional variable-order. The proposed scheme …

[HTML][HTML] Application of Laplace residual power series method for approximate solutions of fractional IVP's

M Alaroud - Alexandria Engineering Journal, 2022 - Elsevier
In this study, different systems of linear and non-linear fractional initial value problems are
solved analytically utilizing an attractive novel technique so-called the Laplace residual …

[HTML][HTML] Dynamics of SIQR epidemic model with fractional order derivative

S Paul, A Mahata, S Mukherjee, B Roy - Partial Differential Equations in …, 2022 - Elsevier
The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a
fractional order SIQR model. The stability analysis of the model is performed. To obtain semi …