This book focuses on the applications of various types of fractional-order differential equations. The authors present their latest research results. This book for the first time introduces the concept of general fractional chaotic systems and their synchronisation, investigates the synchronisation of a fractional coupled reaction-diffusion system using a sliding mode control approach, and considers the impacts of fear and prey escape on a fractional-order prey-predator system with Beddington-De Angelis functional response. Authors believe that these recent research results can promote the applications of fractional-order differential equations in diverse areas.
The book will be attractive to researchers in various fields of mathematics, biomathematics and engineering. Graduate students in related fields may also find this book useful.
Spis treści
Chapter 1. Introduction.- Part I. Control and Synchronization of Several Classes of General Fractional Systems.- Chapter 2. Adaptive Sliding Mode Control for Uncertain General Fractional Chaotic Systems.- Chapter 3. Synchronization of Uncertain General Fractional Unified Chaotic Systems via Finite-Time Adaptive Sliding Mode Control.- Chapter 4. Finite-time Synchronization of Delayed Fractional-order Heterogeneous Complex Networks.- Chapter 5. Mittag-Leffler Synchronization of Fractional-order Memristor-based Neural Networks with Leakage and Time-varying Delays.- Part II. Stability, Control and Synchronization of Several Classes of Fractional Reaction-Diffusion Systems.- Chapter 6. Global ML Stability of the Delayed Fractional-order Coupled Reaction-Diffusion System on Networks Without Strong Connectedness.- Chapter 7. Global Mittag-Leffler Synchronization of Coupled Delayed Fractional Reaction-Diffusion Cohen-Grossberg Neural Networks via Sliding Mode Control.- Chapter 8. Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control based on Finite-Time Scheme.- Part III. Dynamic Behavior of Fractional-order System with Functional Response Function.- Chapter 9. Impact of Fear Effect and Prey Refuge on a Fractional Order Prey-Predator System with Beddington-De Angelis Functional Response.- Chapter 10. A Fractional-order Food Chain System Incorporating Holling-II type Functional Response and Prey Refuge.
O autorze
Yonggui Kao received his B.E. degree from Beijing Jiaotong University in 1996. He received his M.S. and Ph.D. degrees from Ocean University of China in 2005 and 2008, respectively. He is now a professor at the Department of Mathematics, Harbin Institute of Technology (Weihai). With an interdisciplinary educational background in mathematics, control theory and physics, his research interests include stochastic systems, impulsive systems, neural networks, stability theory, fractional-order systems, fuzzy systems and sliding mode control.
Changhong Wang received his Ph.D. degree in Navigation, Guidance and Control from Harbin Institute of Technology, Harbin, China in 1991. He is currently a full professor at the School of Astronautics, Harbin Institute of Technology. His research interests include intelligent control and intelligent system, inertial technology, robotics and precision servo system.
Hongwei Xia received his Ph.D. degreefrom Harbin Institute of Technology, Harbin, China in 2008. He is currently a full professor at the School of Astronautics, Harbin Institute of Technology. His research interests include intelligent control and intelligent system, aircraft control and simulation, image processing and its application, etc.
Yue Cao is a Ph.D. student at Harbin Institute of Technology (Weihai).
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