Fractional Noether theorem and fractional Lagrange equation of multi-scale mechano-electrophysiological coupling model of neuron membrane

• Published in: Chinese physics B Vol. 32; no. 7; pp. 74501 - 468
• Main Author: Wang, Peng
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.07.2023; School of Civil Engineering and Architecture,University of Jinan,Jinan 250022,China
• Subjects: fractional derivative; Hamilton’s principle; multiscale electromechanical coupling; neuron membrane; Noether theorem; fractional derivative; neuron membrane; Noether theorem; multiscale electromechanical cou-pling; Hamilton's principle

Noether theorem is applied to a variable order fractional multiscale mechano-electrophysiological model of neuron membrane dynamics. The variable orders fractional Lagrange equation of a multiscale mechano-electrophysiological model of neuron membrane dynamics is given. The variable orders fractiona...