Numerical solution of fractional-order time-varying delayed differential systems using Lagrange interpolation-Reference-Cited by-同舟云学术

Numerical solution of fractional-order time-varying delayed differential systems using Lagrange interpolation

Published:2018-10-24 Issue:1 Volume:95 Page:809-822
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Wang Hu,Gu Yajuan,Yu Yongguang^ORCID

Funder

National Nature Science Foundation of China

Science Foundation for The Youth Scholars Development Foundation of Central University of Finance and Economics

Fundamental Research Funds for the Central Universities

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/article/10.1007/s11071-018-4597-z/fulltext.html

Reference33 articles.

1. Engheia, N.: On the role of fractional calculus in electromagnetic theory. IEEE Antennas Propag. Mag. 39, 35–46 (1997)

2. Ichise, M., Nagayanagi, Y., Kojima, T.: An analog simulation of noninteger order transfer functions for analysis of electrode processes. J. Electroanal. Chem. 33, 253–265 (1971)

3. Mainardi, F.: Fractional relaxation-oscillation and fractional phenomena. Chaos Solitons Fractals 7, 1461–1477 (1996)

4. Heymans, N., Bauwens, J.C.: Fractal rheological models and fractional differential equations for viscoelastic behavior. Rheol. Acta 33, 210–219 (1994)

5. Sugimoto, N.: Burgers equation with a fractional derivative: hereditary effects on nonlinear acoustic waves. J. Fluid Mech. 225, 631–653 (1991)

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