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Fractional Order Systems and Applications in Engineering - 1st Edition - ISBN: 9780323909532

Fractional Order Systems and Applications in Engineering

1st Edition

Editors: Dumitru Baleanu Valentina Balas Agarwal Praveen
Paperback ISBN: 9780323909532
Imprint: Academic Press
Published Date: 1st May 2022
Page Count: 232
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Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

Key Features

  • Provides the most recent and up-to-date developments on the Fractional-order Systems and their analyzing process
  • Integrates recent advancements of modeling of real phenomena (on Fractional-order Systems) via different-different mathematical equations with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering
  • Provides readers with illustrative examples of how to use the presented theories of Fractional-order Systems in specific cases with associated MATLAB code


Academics (scientists, researchers, MSc. PhD. students) from the fields of Mathematics, Computer Science, Biology, Electrical Engineering, Applied Mathematics and Information Technology. The audience includes researchers and practitioners in any field that deals with systems sciences – modelling of complex systems, systems analysis and nonlinear systems. Academics, researchers, and industries working in the fields of control engineering, mechatronics, modelling, robotics, and simulation

Table of Contents

  1. Fractional calculus approaches in circuits systems and electric drives
    2. Variable order derivatives in control systems
    3. Computational methods for the fractional PDEs in physics and engineering
    4. General fractional derivatives involving the special functions in signal analysis
    5. Fractional derivatives with respect to another function in signal analysis
    6. General variable order derivatives in epidemiology and biomathematics
    7. New fractional order operators in real-world applications
    8. Experimental study of nonlinear systems
    9. Extreme multistability
    10. Complex networks
    11. Fractional order dynamical systems
    12. Hidden attractors in complex systems
    13. Networks of nonlinear oscillators (like neurons)
    14. New methods of control and synchronization nonlinear systems
    15. Information theory
    16. Nonlinear dynamics and chaos in engineering applications
    17. Nonlinear systems with an infinite number of equilibrium points
    18. Nonlinear systems with a stable equilibrium
    19. Nonlinear systems without equilibrium
    20. Novel computation algorithms for studying nonlinear systems
    21. Oscillations and chaos in dynamic economic models
    22. Quantum chaos
    23. Related engineering applications
    24. Self-excited attractors


No. of pages:
© Academic Press 2022
1st May 2022
Academic Press
Paperback ISBN:

About the Editors

Dumitru Baleanu

Dumitru Baleanu

Dr. Dumitru Baleanu is a professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and a visiting staff member at the Department of Mathematics, Cankaya University, Ankara, Turkey. Dr. Baleanu received his Phd from the Institute of Atomic Physics in 1996. His fields of interest include Fractional Dynamics and its applications, Fractional Differential Equations and their applications, Discrete Mathematics, Image Processing, Bioinformatics, Mathematical Biology, Mathematical Physics, Soliton Theory, Lie Symmetry, Dynamic Systems on time scales, Computational Complexity, the Wavelet Method and its applications, Quantization of systems with constraints, the Hamilton-Jacobi Formalism, as well as geometries admitting generic and non-generic symmetries. Dr. Baleanu is co-author of 15 books published by pringer, Elsevier and World Scientific. He has published more than 1000 ISI papers. Dumitru Baleanu won the 2019 Obada Prize. This prize recognizes and encourages innovative and interdisciplinary research that cuts across traditional boundaries and paradigms. It aims to foster universal values of excellence, creativity, justice, democracy, and progress and to promote the scientific, technological and humanistic achievements that advance and improve our world.

Affiliations and Expertise

Professor, Institute of Space Sciences, Magurele-Bucharest, Romania

Valentina Balas

Dr. Valentina Emilia Balas is currently Full Professor in the Department of Automatics and Applied Software at the Faculty of Engineering, “Aurel Vlaicu” University of Arad, Romania. She holds a Ph.D. cum Laude in Applied Electronics and Telecommunications from Polytechnic University of Timisoara. Dr. Balas is author of more than 350 research papers in refereed journals and for international conferences. Her research interests are in Intelligent Systems, Fuzzy Control, Soft Computing, Smart Sensors, Information Fusion, Modeling and Simulation. She is the Editor-in Chief of the International Journal of Advanced Intelligence Paradigms (IJAIP) and the International Journal of Computational Systems Engineering (IJCSysE), an editorial board member for several other national and international publications, as well as an expert evaluator for national and international projects and PhD thesis. Dr. Balas is the director of Intelligent Systems Research Centre in Aurel Vlaicu University of Arad and Director of the Department of International Relations, Programs and Projects in the same university. She served as General Chair of the International Workshop Soft Computing and Applications (SOFA) in nine editions organized in the interval 2005-2020 and held in Romania and Hungary. Dr. Balas participated in many international conferences as Organizer, Honorary Chair, Session Chair, member in Steering, Advisory or International Program Committees and Keynote Speaker. Now she is working in a national project with EU funding support: BioCell-NanoART = Novel Bio-inspired Cellular Nano-Architectures - For Digital Integrated Circuits, 3M Euro from National Authority for Scientific Research and Innovation. She is a member of European Society for Fuzzy Logic and Technology (EUSFLAT), member of Society for Industrial and Applied Mathematics (SIAM) and a Senior Member IEEE, member in Technical Committee – Fuzzy Systems (IEEE Computational Intelligence Society), chair of the Task Force 14 in Technical Committee – Emergent Technologies (IEEE CIS), member in Technical Committee – Soft Computing (IEEE SMCS). Dr. Balas was past Vice-president (responsible with Awards) of IFSA - International Fuzzy Systems Association Council (2013-2015), is a Joint Secretary of the Governing Council of Forum for Interdisciplinary Mathematics (FIM), - A Multidisciplinary Academic Body, India and recipient of the "Tudor Tanasescu" Prize from the Romanian Academy for contributions in the field of soft computing methods (2019).

Affiliations and Expertise

Full Professor, Department of Automatics and Applied Software, Faculty of Engineering, "Aurel Vlaicu" University of Arad, Arad, Romania

Agarwal Praveen

Dr. Praveen Agarwal is an Associate Professor of Mathematics at Anand International College of Engineering, Jaipur, India. He is the author of seven books, including Fixed Point Theory in Metric Spaces, Springer, Advances in Mathematical Inequalities and Applications, Birkhauser, Special Functions and Analysis of Differential Equations, CRC Press, Fractional Calculus, Springer, and Advances in Real and Complex Analysis with Applications, Birkhauser, among others. His research interests include Special Functions, Fractional Calculus, Numerical Analysis, Differential and Difference Equations, Inequalities, and Fixed Point Theorems. He has been a Visiting Professor, Visiting Scientist and Professor at universities in various parts of the world, including India, Germany, Turkey, South Korea, United Kingdom, Russia, Malaysia, and Thailand. In 2017-2018 he was awarded the International Centre for Mathematical Sciences Group Research Fellowship to work with Dr. Michael Ruzhansky at Imperial College London.

Affiliations and Expertise

Associate Professor of Mathematics, Anand International College of Engineering, Jaipur, India

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