MATLAB routine for evaluating the Mittag-Leffler function with two parameters.

The Mittag-Leffler function with two parameters plays an important role and appears frequently in solutions of fractional differential equations (i.e. differential equations containing fractional derivatives).

The MATLAB routine for evaluating the Mittag-Leffler function with two parameters is now available at the MATLAB File Exchange:

http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=8738&objectType=FILE

The routine was written by Igor Podlubny and Martin Kacenak in 2001-2003.

Articles submitted to ASME 2005 conferences, Long Beach, CA, September 24-28, 2005.

The 2005 ASME International Design Engineering Technical Conferences & Computers and Information In Engineering Conference was held at the Hyatt Regency in Long Beach, California from September 24-28, 2005.

The following articles on fractional derivatives and their applications have been submitted for the conference and presented in several dedicated sessions (for details, see the detailed conference program (PDF)):



DETC2005-84460: Control of Time-Delay Systems Using
Robust Fractional-Order Control and Robust Smith Predictor
Based Control.
Patrick Lanusse, LAPS - Bordeaux 1 University, Talence,
France, Alain Oustaloup, LAPS - UMR 5131 CNRS, Université
Bordeaux 1 - ENSEIRB, TALENCE Cedex, France

DETC2005-85182: LMI Tools for Stability Analysis of Fractional
Systems.
Mathieu Moze, Jocelyn Sabatier, LAPS - University Bordeaux
1, Talence, France, Alain Oustaloup, LAPS - UMR 5131
CNRS, Université Bordeaux 1 - ENSEIRB, TALENCE Cedex,
France

DETC2005-84819: Fractional Control of a Single-Link Flexible
Manipulator.
Vicente Feliu, Universidad de Castilla - La Mancha, Ciudad
Real, Spain, Blas Vinagre, University of Extremadura, Badajoz,
Spain, Concepción A. Monje, Universidad de Extremadura,
Badajoz, Spain

DETC2005-84744: Robust Controllability of Interval Fractional
Order Linear Time Invariant Systems.
YangQuan Chen, Hyosung Ahn, Utah State University, Logan,
UT, United States, Dingyu Xue, Northeastern University,
Shenyang, Liaoning, China

DETC2005-84344: Ziegler-Nichols Type Tuning Rules for
Fractional PID Controllers.
Duarte Valério, José Sá da Costa, Technical University of Lisbon
- IST, Lisboa, Portugal, Portugal

DETC2005-84864: Fractional Model of a Gastrocnemius Muscle
for Tetanus Pattern.
Laurent Sommacal, Pierre Melchior, LAPS - UMR 5131
CNRS, Université Bordeaux 1 - ENSEIRB, Talence, France,
Jean-Marie Cabelguen, INSERM EPI 9914, Bordeaux Cedex,
France, Alain Oustaloup, LAPS - UMR 5131 CNRS, Université
Bordeaux 1 - ENSEIRB, Talence Cedex, France, Auke
Ijspeert, EPFL, Swiss Federal Institute of Technology, LAUSANNE,
Switzerland

DETC2005-84784: Approximation and Identification of Fractional
Systems.
Amel Benchellal, Thierry Poinot, Jean-Claude Trigeassou,
Laboratoire d’Automatique et d’Informatique Insustrielle,
Poitiers, France

DETC2005-84743: Sub-Optimum H2 Rational Approximations
to Fractional Order Linear Systems.
Dingyu Xue, Northeastern University, Shenyang, Liaoning,
China, YangQuan Chen, Utah State University, Logan, UT,
United States

DETC2005-84796: High Performance Low Cost Implementation
of FPGA-Based Fractional-Order Operators.
X. Jiang, T. Hartley, Joan Carletta, The University of Akron,
Akron, OH, United States

DETC2005-84579: A Direct Approximation of Cole-Cole-Systems
for Time-Domain Analysis.
Markus S. Haschka, Volker Krebs, Universität Karlsruhe (TH),
Karlsruhe, Baden-Württemberg, Germany

DETC2005-84345: Damping in a Fractional Relaxor-Oscillator
Driven by a Harmonic Force.
B. N. Narahari Achar, John Hanneken, University of Memphis,
Memphis, TN, United States

DETC2005-85230: Synthesis of a Limited-Bandwidth Fractional
Differentiator Made in Hydropneumatic Technology.
Pascal Serrier, Xavier Moreau, LAPS / Université Bordeaux 1,
Talence Cedex, France, Alain OUSTALOUP, LAPS - UMR
5131 CNRS, Université Bordeaux 1 - ENSEIRB, Talence
Cedex, France

DETC2005-84336: Nonlinear Statical and Dynamical Models
of Fractional Derivative Viscoelastic Body.
Hiroshi Nasuno, Nobuyuki Shimizu, Iwaki Meisei University,
Iwaki, Japan

DETC2005-84452: Fractional Derivative Consideration on
Nonlinear Viscoelastic Dynamical Behavior under Statical
Pre-displacement.
Masataka Fukunaga, Nihon University, Sendai, Japan,
Nobuyuki Shimizu, Hiroshi Nasuno, Iwaki Meisei University,
Iwaki, Fukushima, Japan

DETC2005-85624: Flatness Control: Application to a Fractional
Thermal System.
Pierre Melchoir, Mikael Cugnet, Jocelyn Sabatier, Alain
Oustaloup, LAPS - UMR 5131 CNRS, Université Bordeaux 1 -
ENSEIRB, Talence Cedex, France

DETC2005-84952: Complex-order Distributions.
Tom Hartley, Jay L. Adams, University of Akron, Akron, OH,
United States, Carl Lorenzo, NASA Glenn Research Center,
Cleveland, OH, United States

DETC2005-84493: Numerical Scheme for the Solution of
Fractional Differential Equations of Order Greater Than 1.
Om Agrawal, Pankaj Kumar, Southern Illinois University at
Carbondale, Carbondale, IL, United States

DETC2005-84340: Solute Transport Simulated With the Fractional
Advective-Dispersive Equation.
Fernando San Jose Martinez, Politechnic University of
Madrid-ETSIA, Madrid, Madrid, Spain, Yakov A. Pachepsky,
USDA-ARS-BA-ANRI-EMSL, Beltsville, MD, United States,
Walter J. Rawls, USDA-BARC-ANRI-HRSL, Beltsville, MD,
United States

DETC2005-84914: On the Rarefied Gas Flow In Pipes.
Vladan D. Djordjevic, University of Belgrade, Faculty of
Mechanical Engineering, Belgrade 35, Serbia, Yugoslavia

DETC2005-84172: The Number of Real Zeros of the Single
Parameter Mittag-Leffler Function for Parameter Values
Between 1 and 2.
John Hanneken, David M. Vaught, B. N. Narahari Achar, University
of Memphis, Memphis, TN, United States

DETC2005-84348: Initialization Issues of the Caputo Fractional
Derivative.
B. N. Narahari Achar, University of Memphis, Memphis, TN,
United States, Carl Lorenzo, NASA Glenn Research Center,
Cleveland, OH, United States, Tom Hartley, University of
Akron, Akron, OH, United States

DETC2005-84601: The Fractional Hyperbolic Functions: With
Application to Fractional Differential Equations.
Carl Lorenzo, NASA Glenn Research Center, Cleveland, OH,
United States, Tom Hartley, University of Akron, Akron, OH,
United States

DETC2005-84951: Conjugated-order Differintegrals.
Tom Hartley, University of Akron, Akron, OH, United States,
Carl Lorenzo, NASA Glenn Research Center, Cleveland, OH,
United States, Jay L. Adams, The University of Akron, Akron,
OH, United States

DETC2005-85613: On Theory of Systems of Fractional Linear
Differential Equations.
Blanca Bonilla, Margarita Rivero, Juan J. Trujillo, Universidad
de La Laguna, La Laguna 38271. Tenerife, S/C de Tenerife,
Spain

DETC2005-84651: Frequency Domain Analysis of a Fractional
Derivative SDOF System.
Luigi Garibaldi, Politecnico di Torino, Torino, Italy, Silvio Sorrentino,
Sheffield University, Sheffield, United Kingdom

DETC2005-84862: A Fractional Calculus Perspective in Electromagnetics.
J. A. Tenreiro Machado, Isabel Jesus, Alexandra Galhano,
Institute of Engineering of Porto, Porto, Portugal

DETC2005-84266: Fractional Generalization of Ginzburg-Landau
and Nonlinear Schroedinger Equations.
George Zaslavsky, Courant Institute of Mathematical Sciences,
New York, NY, United States, Vasily Tarasov, Skobeltsyn
Institute of Nuclear Physics, Moscow State University,
Moscow, Russia

DETC2005-84390: About Lagrangian Formulation of Classical
Fields within Riemann-Liouville Fractional Derivatives.
Dumitru Baleanu, University of Cankaya, Ankara, Turkey, Sami
Muslih, International Center for Theoretical Physics, Trieste,
Italy

DETC2005-84057: Ergodicity Breaking in Fractional Diffusion
Processes (Presentation Only)
Eli Barkai, Dept. of Chem, Notre Dame, IN, United States

DETC2005-84647: The “Fractional” Kinetic Equations and
General Theory of Dielectric Relaxation.
Raoul Nigmatullin, Kazan State University, Kazan, Tatarstan
Republic, Russia

DETC2005-85299: Robustness of Boundary Control of Fractional
Wave Equations with Delayed Boundary Measurement
Using Fractional Order Controller and the Smith Predictor.
Jinsong Liang, Utah State University, Logan, UT, United
States, Weiwei Zhang, Michigan State University, East Lansing,
MI, United States, YangQuan Chen, Utah State University,
Logan, UT, United States, Igor Podlubny, Technical University
of Kosice, Kosice, Slovakia

DETC2005-85725: Experimental Identification of a Fractional
Derivative Linear Model for Viscoelastic Materials.
Giuseppe Catania, Silvio Sorrentino, University of Bologna,
Bologna, Italy

ASME sub-committee for fractional dynamics starts its blog

The Fractional calculus and its applications blog started today in the framework of activities of the ASME sub-committee for fractional dynamics. The main purpose of this blog is promoting information exchange and collaboration in the field of fractional calculus and its applications.

It is supposed that, among others, information about conferences and other events, new books, special journal issues, individual articles, and preprints will be posted here.