Diffusion through skin in the light of a fractional derivative approach: progress and challenges

M Caputo, C Cametti - Journal of Pharmacokinetics and …, 2021 - Springer
This review is focussed on modelling the transport processes of different drugs across the
intact human skin by introducing a memory formalism based on the fractional derivative …

[HTML][HTML] Numerical approach of Fokker–Planck equation with Caputo–Fabrizio fractional derivative using Ritz approximation

MA Firoozjaee, H Jafari, A Lia, D Baleanu - Journal of Computational and …, 2018 - Elsevier
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 …

[HTML][HTML] Mathematical modeling of anomalous diffusive behavior in transdermal drug-delivery including time-delayed flux concept

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 …

Flux in porous media with memory: models and experiments

E Di Giuseppe, M Moroni, M Caputo - Transport in Porous Media, 2010 - Springer
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 …

Computational analysis of different Pseudoplatystoma species patterns the Caputo-Fabrizio derivative

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 …

Diffusion with memory in two cases of biological interest

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 …

[HTML][HTML] Inertial Memory Effects in Molecular Transport Across Nanoporous Membranes

S Galovic, M Čukić, D Chevizovich - Membranes, 2025 - mdpi.com
Nanoporous membranes are heterogeneous structures, with heterogeneity manifesting at
the microscale. In examining particle transport through such media, it has been observed …

Fractional derivatives in the diffusion process in heterogeneous systems: The case of transdermal patches

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 …

Fractional derivatives in the transport of drugs across biological materials and human skin

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 …

The memory formalism in the diffusion of drugs through skin membrane

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 …