Hyperthermia therapy of cancerous tumor sitting in breast via analytical fractional model

M Turkyilmazoglu - Computers in Biology and Medicine, 2023 - Elsevier
The heat transfer in bi-layer spherical composite region representing a cancerous tumor
embedded in a homogenous muscle tissue (Andra et al., 1999; Yu and Jiang, 2019) is …

[HTML][HTML] Unsteady flows of micropolar fluids parallel to the axis of an annular domain with a porous layer

NA Shah, S Rehman, D Vieru, SJ Yook - Alexandria Engineering Journal, 2023 - Elsevier
Transient flows of micropolar fluids through circular domains are investigated. The flow
domain has two annular regions. The outer region is clean, while the inner region contains a …

[HTML][HTML] A new model of time-dependent fractional second grade fluid for two-dimensional channel flow with heat transfer

W Ali, F Ali, A ur Rahman, I Khan - Alexandria Engineering Journal, 2023 - Elsevier
The goal of the current paper is to create a novel model for the two-dimensional flow (TDF)
of a second-grade fluid and the transfer of heat due to free convection. The second-grade …

Comparative investigation of fractional bioconvection and magnetohydrodynamic flow induced by hybrid nanofluids through a channel

A Raza, N Nigar, U Khan, S Elattar, SM Eldin… - Frontiers in …, 2023 - frontiersin.org
The functional effects of medications, such as those that slow down and calm the body, have
been investigated for the polarized diffusion coefficient based on the subsequent increase …

A potent collocation approach based on shifted gegenbauer polynomials for nonlinear time fractional Burgers' equations

E Magdy, WM Abd-Elhameed, YH Youssri… - Contemporary …, 2023 - ojs.wiserpub.com
This paper presents a numerical strategy for solving the nonlinear time fractional Burgers's
equation (TFBE) to obtain approximate solutions of TFBE. During this procedure, the …

Fuzzy-fractional modeling and simulation of electric circuits using extended He-Laplace-Carson algorithm

M Qayyum, E Ahmad - Physica Scripta, 2024 - iopscience.iop.org
In literature, most of the electric circuits are found to be at integer order, which are unable to
capture the involved uncertainties and memory effects. To understand these effects, the …

[HTML][HTML] Mathematical modelling and projection of Buruli ulcer transmission dynamics using classical and fractional derivatives: A case study of Cameroon

R Fandio, H Abboubakar, HPE Fouda, A Kumar… - … Differential Equations in …, 2023 - Elsevier
The goal of this work is to derive and study a new model which traduces the transmission
dynamics of the Buruli ulcer (BU), in which we replace mass action incidences with standard …

Numerical simulation of non–linear skin model with energy dissipation during hyperthermia and its validation with experimental data

RK Chaudhary, J Singh - Journal of Thermal Stresses, 2024 - Taylor & Francis
This work deals with a non–linear skin model with energy dissipation exposed to
hyperthermia therapy based on a Gaussian–type external heat source and also consider …

[HTML][HTML] New preconditioning and half-sweep accelerated overrelaxation solution for fractional differential equation

P Agarwal, A Sunarto, JVL Chew, J Sulaiman… - Journal of King Saud …, 2023 - Elsevier
The present paper investigates the approximate solution of a one-dimensional linear space-
fractional diffusion equation using a new preconditioning matrix to develop an efficient half …

[HTML][HTML] The influence of fractional time-derivative on the helical flows of generalized multi-layer immiscible second grade fluids in a cylindrical domain

A Rauf, F Batool, NA Shah, JD Chung - Ain Shams Engineering Journal, 2023 - Elsevier
The problem of flow through layered media finds applications in various fields of science
and engineering. Examples of these flows are the flow of ground water, oil, and gas flow in …