© 2012

Fractional Dynamics and Control

  • Dumitru Baleanu
  • José António Tenreiro Machado
  • Albert C. J. Luo

Table of contents

  1. Front Matter
    Pages i-ix
  2. Fractional Control

  3. Fractional Variational Principles and Fractional Differential Equations

    1. Front Matter
      Pages 95-95
    2. Ricardo Almeida, Agnieszka B. Malinowska, Delfim F. M. Torres
      Pages 109-118
    3. Coşkun Yakar, Mustafa Bayram Gücen, Muhammed Çiçek
      Pages 119-132
    4. Coşkun Yakar, Mustafa Bayram Gücen
      Pages 133-144
  4. Fractional Calculus in Mathematics and Physics

    1. Front Matter
      Pages 157-157
    2. Ziqing Gong, Deliang Qian, Changpin Li, Peng Guo
      Pages 159-171
    3. E. G. Razmjou, A. Ranjbar, Z. Rahmani, R. Ghaderi
      Pages 173-184
    4. Dumitru Baleanu, Sergiu I. Vacaru
      Pages 199-207

About this book


Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.

  • Discusses how fractional dynamics and control can be used to solve nonlinear science and complexity issues
  • Shows how fractional differential equations and models can be used to solve turbulence and wave equations in mechanics and gravity theories and Schrodinger’s equation
  •  Presents factional relaxation modeling of dielectric materials and wave equations for dielectrics
  •  Develops new methods for control and synchronization of factional dynamical systems

Fractional Dynamics and Control is an ideal book for scholars, researchers and advanced technical members of industrial laboratory facilities, for developing new tools and products in the field of nonlinear dynamics and control.


Fractional Control Fractional Differential Equations Fractional Dyanmics and Control Fractional Order Modeling Fractional calculus Nonlinear Dynamics Nonlinear Vibrations Partial Differential Equations

Editors and affiliations

  • Dumitru Baleanu
    • 1
  • José António Tenreiro Machado
    • 2
  • Albert C. J. Luo
    • 3
  1. 1.Faculty of Art and Sciences, Mathematics and Computer SciencesCankaya UniversityAnkaraTurkey
  2. 2.Institute of Engineering, Department of Electrical EngineeringPolytechnic Institute of PortoPortoPortugal
  3. 3.Edwardsville, School of EngineeringSouthern Illinois UniversityEdwardsvilleUSA

Bibliographic information