On the objectivity of mathematical description of ion transport processes using general temporal Caputo and Riemann-Liouville fractional partial derivatives

DOI10.1016/J.CHAOS.2022.111802zbMath1506.78004OpenAlexW4205649352WikidataQ114199139 ScholiaQ114199139MaRDI QIDQ2677032

Adrian Neculae, Stefan Balint, Agneta M. Balint

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111802

zbMATH Keywords

ion transportfractional order derivativemathematical descriptionbiological neuron networkneuron axonsneuron membrane

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Fractional derivatives and integrals (26A33) Motion of charged particles (78A35) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• How to impose physically coherent initial conditions to a fractional system?
• On the initial conditions in continuous-time fractional linear systems
• System initial conditions vs derivative initial conditions
• Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model
• Comments on the description and initialization of fractional partial differential equations using Riemann-Liouville's and Caputo's definitions
• Existence and uniqueness of miscible flow equation through porous media with a non singular fractional derivative
• Role of prehistories in the initial value problems of fractional viscoelastic equations
• Fractional Advective-Dispersive Equation as a Model of Solute Transport in Porous Media
• A fractional equation for anomalous diffusion in a randomly heterogeneous porous medium

This page was built for publication: On the objectivity of mathematical description of ion transport processes using general temporal Caputo and Riemann-Liouville fractional partial derivatives