- fractional calculus modelling


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May 2002 - 020502
Special Issue on Fractional Order Calculus and Its Applications

A special Issue of Nonlinear Dynamics (an International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, Kluwer Academic Publishers), edited by J.A. Tenreiro Machado, on Fractional Order Calculus and Its Applications will appear soon.

List of Papers Accepted:

Kai Diethelm, Alan D. Freed and Neville J. Ford, "A predictor-corrector Approach for the Numerical Solution of Fractional Differential Equations

Ph. Mouyon, N. Imbert, G. Montseny, "Markovian Diffusive Representation of Non rational Distributed Random Processes and Application to Turbulence Simulation over Structures"

André Schmidt and Lothar Gaul, "Finite Element Formulation of Viscoelastic Constitutive Equations Using Fractional Time Derivatives"

Carl F. Lorenzo and Tom T. Hartley, "Variable Order and Distributed Order Fractional Operators"

Siegmar Kempfle and Ingo Schäfer, Horst Beyer, "Fractional Calculus Via Functional Calculus: Theory and Applications"

Rudolf Gorenflo, Francesco Mainardi, Daniele Moretti, Paolo Paradisi, "Time-Fractional Diffusion: A Discrete Random Walk Approach"

Om Prakash Agrawal, "Solution for a Fractional Diffusion-wave Equation Defined in a Bounded Domain"

Alper Kutay and Haldun M. Ozaktas, "The Fractional Fourier Transform and Harmonic Oscillation"

Manuel D. Ortigueira, Carlos J.C.Matos, and Moisés S. Piedade, "Fractional Discrete-Time Signal Processing: Scale Conversion and Linear Prediction"

YangQuan Chen and Kevin L. Moore, "Analytical Stability Bound for a Class of Delayed Fractional-order Dynamic Systems"

Tom T. Hartley and Carl F. Lorenzo, "Dynamics and Control of Initialized Fractional-Order Systems"

Ramiro Barbosa, J. A. Tenreiro Machado, "Describing Function Analysis of Systems with Impacts and Backlash"

Shunji Manabe, "A Suggestion of Fractional Order Controller for Flexible Spacecraft Attitude Control"

Blas M. Vinagre, Ivo Petras, Igor Podlubny, YangQuan Chen, "Using Fractional Order Adjustment Rules Fractional Order Reference Models in Model-Reference Adaptive Control"

I. Podlubny, I. Petras., B.M. Vinagre, P O'Leary, L. Dorcak, "Analogue Realizations of Fractional-order Controllers"

B. Orsoni, P. Melchior, Th. Badie, G. Robin. Alain Oustaloup, "Fractional Motion Control: Application to an XY Cutting Table"

Fernando Duarte, J. A. Tenreiro Machado, "Chaotic Phenomena and Fractional-Order Dynamics in the Trajectory Control of Redundant Manipulators"

Xavier Moreau, C. Ramus-Serment and A. Oustaloup, "Fractional Differentiation in Passive Vibration Control"

Jocelyn Sabatier, Alain Oustaloup, Aitor Garcia Iturricha, Patrick Lanusse, "CRONE Control: Principles and Extension to Time variant Plants with Asymptotically Constant Coefficients"