New insight into the nano-fluid flow in a channel with tempered fractional operators

J Fenwick, F Liu, L Feng - Nanotechnology, 2023 - iopscience.iop.org
While studying time fractional fluid flow problems it is typical to consider the Caputo
derivative, however, these models have limitations including a singular kernel and an infinite …

Galerkin finite element method for a two-dimensional tempered time–space fractional diffusion equation with application to a Bloch–Torrey equation retaining Larmor …

L Feng, F Liu, VV Anh - Mathematics and Computers in Simulation, 2023 - Elsevier
This paper considers a two-dimensional tempered time–space fractional diffusion equation
with a reaction term on convex domains. Firstly, the analytical solution to a one-dimensional …

An efficient computational technique for semilinear time-fractional diffusion equation

A Seal, S Natesan - Calcolo, 2024 - Springer
In this manuscript, we aim to study the semi-analytical and the numerical solution of a
semilinear time-fractional diffusion equation where the time-fractional term includes the …

An Unconditionally Stable Numerical Method for Space Tempered Fractional Convection‐Diffusion Models

Z Qiu - Journal of Mathematics, 2024 - Wiley Online Library
A second‐order numerical method for two‐sided tempered fractional convection‐diffusion
equations is studied in this paper, both convection term and diffusion term are approximated …

Fractional dynamic models and numerical simulations of the anomalous diffusion in the human brain

M Zhang - 2023 - eprints.qut.edu.au
Diffusion-weighted magnetic resonance imaging is an advanced imaging technique that
provides detailed information for clinical diagnosis and treatment monitoring. The purpose of …