Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Fractional behaviour of partial differential equations whose coefficients are exponential functions of the space variable

J. Sabatier, H. C. Nguyen, X. Moreau and A. Oustaloup
Mathematical and Computer Modelling of Dynamical Systems 19 (5) 434 (2013)
https://doi.org/10.1080/13873954.2013.766805

Fractional order modeling of rotor skin effect in induction machines

Abdelhamid Jalloul, Jean-Claude Trigeassou, Khaled Jelassi and Pierre Melchior
Nonlinear Dynamics 73 (1-2) 801 (2013)
https://doi.org/10.1007/s11071-013-0833-8

An Implementation Solution for Fractional Partial Differential Equations

Nicolas Bertrand, Jocelyn Sabatier, Olivier Briat and Jean-Michel Vinassa
Mathematical Problems in Engineering 2013 1 (2013)
https://doi.org/10.1155/2013/795651

State variables and transients of fractional order differential systems

J.C. Trigeassou, N. Maamri, J. Sabatier and A. Oustaloup
Computers & Mathematics with Applications 64 (10) 3117 (2012)
https://doi.org/10.1016/j.camwa.2012.03.099

Transients of fractional-order integrator and derivatives

J. C. Trigeassou, N. Maamri, J. Sabatier and A. Oustaloup
Signal, Image and Video Processing 6 (3) 359 (2012)
https://doi.org/10.1007/s11760-012-0332-2

How to impose physically coherent initial conditions to a fractional system?

Jocelyn Sabatier, Mathieu Merveillaut, Rachid Malti and Alain Oustaloup
Communications in Nonlinear Science and Numerical Simulation 15 (5) 1318 (2010)
https://doi.org/10.1016/j.cnsns.2009.05.070

Digital Waveguide Modeling for Wind Instruments: Building a State–Space Representation Based on the Webster–Lokshin Model

Rémi Mignot, Thomas Helie and Denis Matignon
IEEE Transactions on Audio, Speech, and Language Processing 18 (4) 843 (2010)
https://doi.org/10.1109/TASL.2009.2038671

A fractional order model for lead-acid battery crankability estimation

J. Sabatier, M. Cugnet, S. Laruelle, et al.
Communications in Nonlinear Science and Numerical Simulation 15 (5) 1308 (2010)
https://doi.org/10.1016/j.cnsns.2009.05.067

A Fast Time Stepping Method for Evaluating Fractional Integrals

Jing-Rebecca Li
SIAM Journal on Scientific Computing 31 (6) 4696 (2010)
https://doi.org/10.1137/080736533

Identification and Time-Domain Simulation of the Association Inverter–Cable–Asynchronous Machine Using Diffusive Representation

K. Ben Smida, P. Bidan, T. Lebey, F. Ben Ammar and M. Elleuch
IEEE Transactions on Industrial Electronics 56 (1) 257 (2009)
https://doi.org/10.1109/TIE.2008.926766

Reduced-Order Thermal Behavioral Model Based on Diffusive Representation

Bruno Allard, Xavier Jorda, Pierre Bidan, et al.
IEEE Transactions on Power Electronics 24 (12) 2833 (2009)
https://doi.org/10.1109/TPEL.2009.2028231

Optimal low order model identification of fractional dynamic systems

T. Djamah, R. Mansouri, S. Djennoune and M. Bettayeb
Applied Mathematics and Computation 206 (2) 543 (2008)
https://doi.org/10.1016/j.amc.2008.05.109

Fractional Modelling and Identification of a Thermal Process

Amel Benchellal, Thierry Poinot and Jean-Claude Trigeassou
Journal of Vibration and Control 14 (9-10) 1403 (2008)
https://doi.org/10.1177/1077546307087441

DIFFUSIVE REPRESENTATIONS FOR THE ANALYSIS AND SIMULATION OF FLARED ACOUSTIC PIPES WITH VISCO-THERMAL LOSSES

TH. HÉLIE and D. MATIGNON
Mathematical Models and Methods in Applied Sciences 16 (04) 503 (2006)
https://doi.org/10.1142/S0218202506001248

Asymptotic stability of linear conservative systems when coupled with diffusive systems

Denis Matignon and Christophe Prieur
ESAIM: Control, Optimisation and Calculus of Variations 11 (3) 487 (2005)
https://doi.org/10.1051/cocv:2005016

Simple Approach to Approximation and Dynamical Realization of Pseudodifferential Time Operators Such as Fractional Ones

G. Montseny
IEEE Transactions on Circuits and Systems II: Express Briefs 51 (11) 613 (2004)
https://doi.org/10.1109/TCSII.2004.834544

Modeling and Optimal Identification of Pseudodifferential Electrical Dynamics by Means of Diffusive Representation—Part I: Modeling

L. Laudebat, P. Bidan and G. Montseny
IEEE Transactions on Circuits and Systems I: Regular Papers 51 (9) 1801 (2004)
https://doi.org/10.1109/TCSI.2004.834501

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

Thomas Hélie and Denis Matignon
Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 72 (2003)
https://doi.org/10.1007/978-3-642-55856-6_11

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

David Levadoux and Gérard Montseny
Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 136 (2003)
https://doi.org/10.1007/978-3-642-55856-6_22

Transient voltage distribution in inverter fed motor windings: experimental study and modeling

P. Bidan, T. Lebey, G. Montseny and J. Saint-Michel
IEEE Transactions on Power Electronics 16 (1) 92 (2001)
https://doi.org/10.1109/63.903993

Nonlinear control in the year 2000 volume 2

Gérard Montseny, Jacques Audounet and Denis Matignon
Lecture Notes in Control and Information Sciences, Nonlinear control in the year 2000 volume 2 259 163 (2001)
https://doi.org/10.1007/BFb0110300

Nonlinear control in the Year 2000

Jacques Audounet, Denis Matignon and Gérard Montseny
Lecture Notes in Control and Information Sciences, Nonlinear control in the Year 2000 258 73 (2000)
https://doi.org/10.1007/BFb0110208