Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators

S Kumar, RP Chauhan, S Momani… - Numerical Methods for …, 2024 - Wiley Online Library
Nowadays, the complete world is suffering from untreated infectious epidemic disease
COVID‐19 due to coronavirus, which is a very dangerous and deadly viral infection. So, the …

[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 …

Mathematical epidemiological modeling and analysis of monkeypox dynamism with non-pharmaceutical intervention using real data from United Kingdom

M Ngungu, E Addai, A Adeniji, UM Adam… - Frontiers in Public …, 2023 - frontiersin.org
In this study, a mathematical model for studying the dynamics of monkeypox virus
transmission with non-pharmaceutical intervention is created, examined, and simulated …

[HTML][HTML] A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems

Z Sabir, MAZ Raja, JLG Guirao, M Shoaib - Alexandria Engineering Journal, 2021 - Elsevier
In this study, a novel stochastic computational frameworks based on fractional Meyer
wavelet artificial neural network (FMW-ANN) is designed for nonlinear-singular fractional …

A novel meta-learning initialization method for physics-informed neural networks

X Liu, X Zhang, W Peng, W Zhou, W Yao - Neural Computing and …, 2022 - Springer
Physics-informed neural networks (PINNs) have been widely used to solve various scientific
computing problems. However, large training costs limit PINNs for some real-time …

[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 …

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 delayed plant disease model with Caputo fractional derivatives

P Kumar, D Baleanu, VS Erturk, M Inc… - Advances in Continuous …, 2022 - Springer
We analyze a time-delay Caputo-type fractional mathematical model containing the infection
rate of Beddington–DeAngelis functional response to study the structure of a vector-borne …

[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 …

Fractional numerical dynamics for the logistic population growth model under Conformable Caputo: a case study with real observations

S Qureshi, A Yusuf, S Aziz - Physica Scripta, 2021 - iopscience.iop.org
Abstract Models of population dynamics are substantially non-Markovian in nature and
exhibit behavior for memory effects. This research study investigates the logistic growth …