Time Fractional Cable Equation And Applications in Neurophysiology
Biological Physics
2017-05-19 v2 Neurons and Cognition
Abstract
We propose an extension of the cable equation by introducing a Caputo time fractional derivative. The fundamental solutions of the most common boundary problems are derived analitically via Laplace Transform, and result be written in terms of known special functions. This generalization could be useful to describe anomalous diffusion phenomena with leakage as signal conduction in spiny dendrites. The presented solutions are computed in Matlab and plotted.
Keywords
Cite
@article{arxiv.1702.05339,
title = {Time Fractional Cable Equation And Applications in Neurophysiology},
author = {Silvia Vitali and Gastone Castellani and Francesco Mainardi},
journal= {arXiv preprint arXiv:1702.05339},
year = {2017}
}
Comments
10 figures. arXiv admin note: substantial text overlap with arXiv:1702.05325