Time fractional cable equation and applications in neurophysiology

Silvia Vitali, Gastone Castellani and Francesco Mainardi

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 467-472

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 analytically 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: Fractional cable equation; Sub-diffusion; Wright functions; Laplace Transform; Efros theorem; Dendrites (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:467-472

DOI: 10.1016/j.chaos.2017.04.043

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