In this manuscript, a type of Fokker–Planck equation (FPE) with Caputo–Fabrizio fractional derivative is considered. We present a numerical approach which is based on the Ritz …
M Čukić, S Galovic - Chaos, Solitons & Fractals, 2023 - Elsevier
Molecular transport through a composite multilayer membrane is a central process in transdermal drug delivery (TDD). Classical Fickean approach treats skin as a pseudo …
The classic constitutive equation relating fluid flux to a gradient in potential (pressure head plus gravitational energy) through a porous medium was discovered by Darcy in the mid …
KM Owolabi - Chaos, Solitons & Fractals, 2021 - Elsevier
Pattern formation processes in non-integer order systems are increasingly becoming the subject of activity considered by many scientists and engineers for scenarios associated with …
M Caputo, C Cametti - Journal of theoretical biology, 2008 - Elsevier
The complexity of a biological structure, such as membrane where the transport process may carry solid particles which may obstruct some of the pores, diminishing their size and …
Nanoporous membranes are heterogeneous structures, with heterogeneity manifesting at the microscale. In examining particle transport through such media, it has been observed …
M Caputo, C Cametti - Mathematical Biosciences, 2017 - Elsevier
In this note, we present a simple mathematical model of drug delivery through transdermal patches by introducing a memory formalism in the classical Fick diffusion equation based on …
M Caputo, C Cametti - Physica A: Statistical Mechanics and its Applications, 2016 - Elsevier
The diffusion of drugs across a composite structure such as a biological membrane is a rather complex phenomenon, because of its inhomogeneous nature, yielding a diffusion rate …
M Caputo, C Cametti - Journal of Physics D: Applied Physics, 2009 - iopscience.iop.org
The diffusion of drugs across a composite structure such as a biological membrane is a rather complex phenomenon, where the assumptions on which the Fick equations are …