Emerging tumor-on-chips with electrochemical biosensors

L Lei, B Ma, C Xu, H Liu - TrAC Trends in Analytical Chemistry, 2022 - Elsevier
Cancer, one of the most dangerous diseases with a high mortality rate, has attracted much
attention and interest. Advances in tissue engineering and microfluidics have led to the …

On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique

B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
One of the most interesting branches of fractional calculus is the local fractional calculus,
which has been used successfully to describe many fractal problems in science and …

The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique

S Djennadi, N Shawagfeh, MS Osman… - Physica …, 2021 - iopscience.iop.org
This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …

Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm …

O Abu Arqub, J Singh… - Mathematical Methods in …, 2023 - Wiley Online Library
Mathematical modeling of uncertain fractional integrodifferentials (FIDEs) is an extremely
significant topic in electric circuits, signal processing, electromagnetics, and anomalous …

[PDF][PDF] The dynamical analysis of a Tumor Growth model under the effect of fractal fractional Caputo-Fabrizio derivative

R Singh, J Mishra, VK Gupta - … Journal of Mathematics and Computer in …, 2023 - sciendo.com
Fractal-fractional derivatives, which are still rather new, are frequently used to look into the
complexities of an issue. Today, tumors are a prevalent and difficult-to-treat condition. The …

An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method

S Rashid, KT Kubra, S Sultana, P Agarwal… - … of Computational and …, 2022 - Elsevier
This article offers a well-organized and novel algorithm for solving time-fractional Fornberg–
Whitham, Klein–Gordon equation and biological population models occurring from physics …

[HTML][HTML] A mathematical model and numerical solution for brain tumor derived using fractional operator

RM Ganji, H Jafari, SP Moshokoa, NS Nkomo - Results in Physics, 2021 - Elsevier
In this paper, we present a mathematical model of brain tumor. This model is an extension of
a simple two-dimensional mathematical model of glioma growth and diffusion which is …

Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome …

KK Ali, MS Osman, HM Baskonus… - … Methods in the …, 2023 - Wiley Online Library
In this paper, we introduce a numerical and analytical study of the HIV‐1 infection of CD4+ T‐
cells conformable fractional mathematical model. This model is studied analytically by …

[HTML][HTML] Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

MD Ikram, MI Asjad, A Akgül, D Baleanu - Alexandria Engineering Journal, 2021 - Elsevier
In this paper, it has been discussed the fractional model of Brinkman type fluid (BTF) holding
hybrid nanoparticles. Titanium dioxide (T i O 2) and silver (Ag) nanoparticles were liquefied …

[HTML][HTML] A mathematical COVID-19 model considering asymptomatic and symptomatic classes with waning immunity

N Anggriani, MZ Ndii, R Amelia, W Suryaningrat… - Alexandria Engineering …, 2022 - Elsevier
The spread of COVID-19 to more than 200 countries has shocked the public. Therefore,
understanding the dynamics of transmission is very important. In this paper, the COVID-19 …