Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation-Reference-Cited by-同舟云学术

Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation

Published:2013-05 Issue:5 Volume:74 Page:725-749
ISSN:0005-1179
Container-title:Automation and Remote Control
language:en
Short-container-title:Autom Remote Control

Author:

Butkovskii A. G.,Postnov S. S.,Postnova E. A.

Publisher

Pleiades Publishing Ltd

Subject

Control and Systems Engineering,Electrical and Electronic Engineering

Link

http://link.springer.com/content/pdf/10.1134/S0005117913050019.pdf

Reference179 articles.

1. Butkovskii, A.G., Postnov, S.S., and Postnova, E.A., Fractional Integro-Differential Calculus and Its Control-theoretical Applications. I. Mathematical Fundamentals and the Problem of Interpretation, Autom. Remote Control, 2013, vol. 74, no. 5, pp. 543–576.

2. Varlamov, V., Riesz Potentials for Korteweg-de Vries Solutions and Sturm-Liouville Problems, Int. J. Differ. Equat., 2010, vol. 2010 (article ID 193893).

3. Shateri, M. and Ganji, D.D., Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique, Int. J. Differ. Equat., 2010, vol. 2010 (article ID 954674).

4. Petras, I., Modeling and Numerical Analysis of Fractional-Order Bloch Equations, Comput. Math. Appl., 2011, vol. 61, pp. 341–356.

5. Naber, M., Linear Fractionally Damped Oscillator, Int. J. Differ. Equat., 2010, vol. 2010 (article ID 197020).

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Global existence and stability results for a time-fractional diffusion equation with variable exponents;Arabian Journal of Mathematics;2024-06-15

2. Comparison principles for a class of general integro-differential inequalities with applications;Computational and Applied Mathematics;2024-02-23

3. Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems;Mathematics;2023-10-09

4. Positive Solutions for a System of Hadamard Fractional Boundary Value Problems on an Infinite Interval;Axioms;2023-08-16

5. Optimal Feedback in a Linear–Quadratic Optimal Control Problem for a Fractional-Order System;Differential Equations;2023-08