A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment

EJ Moore, S Sirisubtawee, S Koonprasert - Advances in Difference …, 2019 - Springer
In recent years, many new definitions of fractional derivatives have been proposed and used
to develop mathematical models for a wide variety of real-world systems containing memory …

[HTML][HTML] A mathematical system of COVID-19 disease model: Existence, uniqueness, numerical and sensitivity analysis

K Sadri, H Aminikhah, M Aminikhah - MethodsX, 2023 - Elsevier
A compartmental mathematical model of spreading COVID-19 disease in Wuhan, China is
applied to investigate the pandemic behaviour in Iran. This model is a system of seven …

[Retracted] Music Recommendation Algorithm Based on Multidimensional Time‐Series Model Analysis

J Shi - Complexity, 2021 - Wiley Online Library
This paper proposes a personalized music recommendation method based on
multidimensional time‐series analysis, which can improve the effect of music …

LBM simulation of non-Newtonian fluid seepage based on fractional-derivative constitutive model

HG Sun, LJ Jiang, Y Xia - Journal of Petroleum Science and Engineering, 2022 - Elsevier
This paper proposes a truncated fractional-derivative constitutive model to consider the non-
locality of non-Newtonian fluids. The single relaxation time lattice Boltzmann method (SRT …

Hybrid finite element and laplace transform method for efficient numerical solutions of fractional PDEs on graphics processing units

LX Vivas-Cruz, A González-Calderón… - Physica …, 2024 - iopscience.iop.org
Abstract Fractional Partial Differential equations (FPDEs) are essential for modeling complex
systems across various scientific and engineering areas. However, efficiently solving FPDEs …

A review of constitutive models for non-Newtonian fluids

HG Sun, Y Jiang, Y Zhang, L Jiang - Fractional Calculus and Applied …, 2024 - Springer
Various constitutive models have been proposed to quantify a wide range of non-Newtonian
fluids, but there is lack of a systematic classification and evaluation of these competing …

Analysis of a fractional order epidemiological model for tuberculosis transmission with vaccination and reinfection

TR Nandi, AK Saha, S Roy - Scientific Reports, 2024 - nature.com
This study has been carried out using a novel mathematical model on the dynamics of
tuberculosis (TB) transmission considering vaccination, endogenous re-activation of the …

A new higher-order super compact finite difference scheme to study three-dimensional non-Newtonian flows

A Punia, RK Ray - Physics of Fluids, 2024 - pubs.aip.org
This work introduces a new higher-order accurate super compact (HOSC) finite difference
scheme for solving complex unsteady three-dimensional (3D) non-Newtonian fluid flow …

Spectral collocation technique for solving two-dimensional multi-term time fractional viscoelastic non-Newtonian fluid model

MM Al-Shomrani, MA Abdelkawy, AM Lopes - Mathematics, 2023 - mdpi.com
Applications of non-Newtonian fluids have been widespread across industries,
accompanied by theoretical developments in engineering and mathematics. This paper …

A discussion on nonlocality: From fractional derivative model to peridynamic model

HG Sun, Y Wang, L Yu, X Yu - Communications in Nonlinear Science and …, 2022 - Elsevier
Abstract Characterization of nonlocality is an open problem in physics and engineering. This
paper conducts a detailed investigation on two nonlocal models, namely, the fractional …