Table of Contents
Table of Contents
Foreword Alain Oustaloup
Preface
Chapter 1 – The Heuristic Power of the Non Integer Differential Operator in Physics: From Chaos to Emergence, Auto-Organisations and Holistic Rules (pp. 1-22)
Alain Le Méhauté (Physics Department. Kazan Federal University 420 008 Kazan, Russia)
Chapter 2 – Dynamics of Fractional Order Chaotic Systems (pp. 23-36)
Sachin Bhalekar (Department of Mathematics, Shivaji University, Kolhapur, India)
Chapter 3 – Pressure Control of CNG Engines by Non-integer Order Controllers: A New Trend in Application of Fractional Calculus to Automotive Systems (pp. 37-64)
Paolo Lino and Guido Maione (Dipartimento di Ingegneria Elettricaedell Informazione–Politecnico di Bari, Italy)
Chapter 4 – Linear Integer Order System Control by Fractional PI-State Feedback (pp. 65-92)
Rachid Mansouri, Maamar Bettayeb, Chahira Boussalem and Ubaid M. Al-Saggaf (University Mouloud Mammeri of Tizi-Ouzou, Algeria and others)
Chapter 5 – From the Formal Concept Analysis to the Numerical Simulation of the Thermal Diffusion Phenomena in a Finite Medium (pp. 93-122)
Riad Assaf, Roy Abi Zeid Daou, Xavier Moreau and Fady Christophy (University of Bordeaux, IMS Laboratory, UMR 5218 CNRS, 33405 Talence, Bordeaux, France and others)
Chapter 6 – Temperature Control of a Diffusive Medium Using the CRONE Approach (pp. 123-148)
Fady Christophy, Xavier Moreau, Roy Abi Zeid Daou and Riad Assaf (University of Bordeaux, Laboratory IMS, UMR 5218 CNRS, 33405 Talence, Bordeaux, France and others)
Chapter 7 – Adaptive Second-Order Fractional Sliding Mode Control with Application to Water Tanks Level Control (pp. 149-164)
Danial Senejohnny, Mohammadreza Faieghi and Hadi Delavari (Faculty of Electrical Engineering, Sharif University of Technology, Tehran, and Faculty of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran and others)
Chapter 8 – Features of Fractional Operators Involving Fractional Derivatives and Their Applications to the Problems of Mechanics of Solids (pp. 165-226)
Yury A. Rossikhin and Marina V. Shitikova (Research Center on Dynamics of Solids, Voronezh State University of Architecture and Civil Engineering, Russia)
Chapter 9 – Theory of Diffusive Stresses Based on the Fractional Advection-Diffusion Equation (pp. 227-242)
Yuriy Povstenko (Institute of Mathematics and Computer Science, Jan D³ugosz University, Poland)
Chapter 10 – Modelling Drug Effect Using Fractional Calculus (pp. 243-258)
Clara M. Ionescu (Ghent University, Department of Electrical Energy, Systems and Automation, Belgium)
Chapter 11 – Fuzzy Fractional PID Controllers: Analysis, Synthesis and Implementation (pp. 259-288)
Ramiro S. Barbosa and Isabel S. Jesus (GECAD, Portugal)
Index