A review of applications of fractional advection–dispersion equations for anomalous solute transport in surface and subsurface water
Fractional advection–dispersion equations (FADEs) have been widely used in hydrological
research to simulate the anomalous solute transport in surface and subsurface water …
research to simulate the anomalous solute transport in surface and subsurface water …
Numerical solution of variable-order fractional integro-partial differential equations via Sinc collocation method based on single and double exponential …
A Babaei, BP Moghaddam, S Banihashemi… - … in Nonlinear Science …, 2020 - Elsevier
This paper addresses the numerical solution of the multi-dimensional variable-order
fractional integro-partial differential equations. The upwind scheme and a piecewise linear …
fractional integro-partial differential equations. The upwind scheme and a piecewise linear …
[HTML][HTML] A fractional order SIR model describing hesitancy to the COVID-19 vaccination
This study introduces a SIR (Susceptible-Infectious-Recovered) model using fractional
derivatives to assess the population's hesitancy to the COVID-19 vaccination campaign in …
derivatives to assess the population's hesitancy to the COVID-19 vaccination campaign in …
An efficient approach based on Legendre–Gauss–Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo–Fabrizio fractional Volterra partial …
H Dehestani, Y Ordokhani - Journal of Computational and Applied …, 2022 - Elsevier
In the current study, we provide a novel technique based on discrete shifted Hahn
polynomials and Legendre–Gauss–Lobatto quadrature method for solving Caputo–Fabrizio …
polynomials and Legendre–Gauss–Lobatto quadrature method for solving Caputo–Fabrizio …
An Exact Stochastic Simulation Method for Fractional Order Compartment Models
Our study focuses on fractional order compartment models derived from underlying physical
stochastic processes, providing a more physically grounded approach compared to models …
stochastic processes, providing a more physically grounded approach compared to models …
On the validation of a fractional order model for pharmacokinetics using clinical data
S Mtshali, BA Jacobs - Fractal and fractional, 2023 - mdpi.com
This study aims to validate the hypothesis that the pharmacokinetics of certain drug regimes
are better captured using fractional order differential equations rather than ordinary …
are better captured using fractional order differential equations rather than ordinary …
Modeling Long-Distance Forward and Backward Diffusion Processes in Tracer Transport Using the Fractional Laplacian on Bounded Domains
Recent studies have emphasized the importance of the long-distance diffusion model in
characterizing tracer transport occurring within both subsurface and surface environments …
characterizing tracer transport occurring within both subsurface and surface environments …
Numerical simulation of a two‐compartmental fractional model in pharmacokinetics and parameters estimation
Y Qiao, H Xu, H Qi - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
Compartmental model is the classic and widely used approach in pharmacokinetics.
Recently, fractional calculus is introduced to describe the time course of drugs in human …
Recently, fractional calculus is introduced to describe the time course of drugs in human …
[HTML][HTML] A novel approach for fractional pharmacokinetics modeling and integrating stochastic simulation techniques using Sibuya distribution
Y Chen - Applied Mathematical Modelling, 2025 - Elsevier
Fractional compartment models are widely used to simulate pharmacokinetics with power-
law behavior. In this work, we study an approach, previously mainly used in Epidemiology …
law behavior. In this work, we study an approach, previously mainly used in Epidemiology …
A Stochastic Simulation Method for Fractional Order Compartment Models
Our study focuses on fractional order compartment models derived from underlying physical
stochastic processes, providing a more physically grounded approach compared to models …
stochastic processes, providing a more physically grounded approach compared to models …