Fractional Order Electrical Circuit Theory

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Fractional-Order Electrical Circuit Theory

Author : Bo Zhang
Publisher : Springer Nature
ISBN 13 : 981162822X
Total Pages : 310 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Fractional-Order Electrical Circuit Theory by : Bo Zhang

Download or read book Fractional-Order Electrical Circuit Theory written by Bo Zhang and published by Springer Nature. This book was released on 2021-08-16 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise and insightful view of the knowledge on fractional-order electrical circuits, which belongs to the subject of Electric Engineering and involves mathematics of fractional calculus. It offers an overview of fractional calculus and then describes and analyzes the basic theories and properties of fractional-order elements and fractional-order electrical circuit composed of fractional-order elements. Therein, the fundamental theorems, time-domain analysis, steady-state analysis, complex frequency domain analysis and state variable analysis of fractional-order electrical circuit are included. The fractional-order two-port networks and generalized fractional-order linear electrical circuits are also mentioned. Therefore, this book provides readers with enough background and understanding to go deeper into the topic of fractional-order electrical circuit, so that it is useful as a textbook for courses related to fractional-order elements, fractional-order electrical circuits, etc. This book is intended for students without an extensive mathematical background and is suitable for advanced undergraduate and graduate students, engineers and researchers who focus on the fractional-order elements, electrical circuits and systems.

Fractional-Order Devices

Author : Karabi Biswas
Publisher : Springer
ISBN 13 : 3319544608
Total Pages : 111 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Fractional-Order Devices by : Karabi Biswas

Download or read book Fractional-Order Devices written by Karabi Biswas and published by Springer. This book was released on 2017-05-11 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on two specific areas related to fractional order systems – the realization of physical devices characterized by non-integer order impedance, usually called fractional-order elements (FOEs); and the characterization of vegetable tissues via electrical impedance spectroscopy (EIS) – and provides readers with new tools for designing new types of integrated circuits. The majority of the book addresses FOEs. The interest in these topics is related to the need to produce “analogue” electronic devices characterized by non-integer order impedance, and to the characterization of natural phenomena, which are systems with memory or aftereffects and for which the fractional-order calculus tool is the ideal choice for analysis. FOEs represent the building blocks for designing and realizing analogue integrated electronic circuits, which the authors believe hold the potential for a wealth of mass-market applications. The freedom to choose either an integer- or non-integer-order analogue integrator/derivator is a new one for electronic circuit designers. The book shows how specific non-integer-order impedance elements can be created using materials with specific structural properties. EIS measures the electrical impedance of a specimen across a given range of frequencies, producing a spectrum that represents the variation of the impedance versus frequency – a technique that has the advantage of avoiding aggressive examinations. Biological tissues are complex systems characterized by dynamic processes that occur at different lengths and time scales; this book proposes a model for vegetable tissues that describes the behavior of such materials by considering the interactions among various relaxing phenomena and memory effects.

Design of CMOS Analog Integrated Fractional-Order Circuits

Author : Georgia Tsirimokou
Publisher : Springer
ISBN 13 : 3319556339
Total Pages : 123 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Design of CMOS Analog Integrated Fractional-Order Circuits by : Georgia Tsirimokou

Download or read book Design of CMOS Analog Integrated Fractional-Order Circuits written by Georgia Tsirimokou and published by Springer. This book was released on 2017-04-12 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the design and realization of analog fractional-order circuits, which are suitable for on-chip implementation, capable of low-voltage operation and electronic adjustment of their characteristics. The authors provide a brief introduction to fractional-order calculus, followed by design issues for fractional-order circuits of various orders and types. The benefits of this approach are demonstrated with current-mode and voltage-mode filter designs. Electronically tunable emulators of fractional-order capacitors and inductors are presented, where the behavior of the corresponding chips fabricated using the AMS 0.35um CMOS process has been experimentally verified. Applications of fractional-order circuits are demonstrated, including a pre-processing stage suitable for the implementation of the Pan-Tompkins algorithm for detecting the QRS complexes of an electrocardiogram (ECG), a fully tunable implementation of the Cole-Cole model used for the modeling of biological tissues, and a simple, non-impedance based measuring technique for super-capacitors.

Fractional Order Systems

Author : Ahmed G. Radwan
Publisher : Academic Press
ISBN 13 : 0128243341
Total Pages : 614 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Fractional Order Systems by : Ahmed G. Radwan

Download or read book Fractional Order Systems written by Ahmed G. Radwan and published by Academic Press. This book was released on 2021-10-13 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Order Systems: An Overview of Mathematics, Design, and Applications for Engineers introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. - Presents a simple and comprehensive understanding of the field of fractional-order systems - Offers practical knowledge on the design of fractional-order systems for different applications - Exposes users to possible new applications for fractional-order systems

Fractional Linear Systems and Electrical Circuits

Author : Tadeusz Kaczorek
Publisher : Springer
ISBN 13 : 3319113615
Total Pages : 260 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Fractional Linear Systems and Electrical Circuits by : Tadeusz Kaczorek

Download or read book Fractional Linear Systems and Electrical Circuits written by Tadeusz Kaczorek and published by Springer. This book was released on 2014-10-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed. Descriptor linear electrical circuits and their properties are investigated in chapter 3, while chapter 4 is devoted to the stability of fractional standard and positive linear electrical circuits. The reachability, observability and reconstructability of fractional positive electrical circuits and their decoupling zeros are analyzed in chapter 5. The fractional linear electrical circuits with feedbacks are considered in chapter 6. In chapter 7 solutions of minimum energy control for standard and fractional systems with and without bounded inputs is presented. In chapter 8 the fractional continuous-time 2D linear systems described by the Roesser type models are investigated.

Fractional-Order Design

Author : Ahmed G. Radwan
Publisher : Academic Press
ISBN 13 : 0323902049
Total Pages : 550 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Fractional-Order Design by : Ahmed G. Radwan

Download or read book Fractional-Order Design written by Ahmed G. Radwan and published by Academic Press. This book was released on 2021-10-22 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these applications. The book also includes the different techniques employed to comprehensively and straightforwardly design fractional-order systems/devices. Furthermore, a lot of mathematics is available in the literature for solving the fractional-order calculus for system application. However, a small portion is employed in the design of fractional-order systems. This book introduces the mathematics that has been employed explicitly for fractional-order systems. Students and scholars who wants to quickly understand the field of fractional-order systems and contribute to its different domains and applications will find this book a welcomed resource. - Presents a simple and comprehensive understanding of the field of fractional-order systems - Offers practical knowledge on the design of fractional-order systems for different applications - Exposes users to the possible new areas of applications of fractional-order systems

Fractional Order Systems

Author : Ahmad Taher Azar
Publisher : Academic Press
ISBN 13 : 0128163089
Total Pages : 746 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Fractional Order Systems by : Ahmad Taher Azar

Download or read book Fractional Order Systems written by Ahmad Taher Azar and published by Academic Press. This book was released on 2018-08-16 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications consists of 21 contributed chapters by subject experts. Chapters offer practical solutions and novel methods for recent research problems in the multidisciplinary applications of fractional order systems, such as FPGA, circuits, memristors, control algorithms, photovoltaic systems, robot manipulators, oscillators, etc. This book is ideal for researchers working in the modeling and applications of both continuous-time and discrete-time dynamics and chaotic systems. Researchers from academia and industry who are working in research areas such as control engineering, electrical engineering, mechanical engineering, computer science, and information technology will find the book most informative. - Discusses multi-disciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results - Includes new circuits and systems based on the new nonlinear elements - Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers - Closes the gap between theoretical approaches and real-world applications - Provides MATLAB® and Simulink code for many of the applications in the book

Fractional Order Analysis

Author : Hemen Dutta
Publisher : John Wiley & Sons
ISBN 13 : 1119654165
Total Pages : 336 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Fractional Order Analysis by : Hemen Dutta

Download or read book Fractional Order Analysis written by Hemen Dutta and published by John Wiley & Sons. This book was released on 2020-09-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the new research in the field of fractional order analysis Fractional Order Analysis contains the most recent research findings in fractional order analysis and its applications. The authors—noted experts on the topic—offer an examination of the theory, methods, applications, and the modern tools and techniques in the field of fractional order analysis. The information, tools, and applications presented can help develop mathematical methods and models with better accuracy. Comprehensive in scope, the book covers a range of topics including: new fractional operators, fractional derivatives, fractional differential equations, inequalities for different fractional derivatives and fractional integrals, fractional modeling related to transmission of Malaria, and dynamics of Zika virus with various fractional derivatives, and more. Designed to be an accessible text, several useful, relevant and connected topics can be found in one place, which is crucial for an understanding of the research problems of an applied nature. This book: Contains recent development in fractional calculus Offers a balance of theory, methods, and applications Puts the focus on fractional analysis and its interdisciplinary applications, such as fractional models for biological models Helps make research more relevant to real-life applications Written for researchers, professionals and practitioners, Fractional Order Analysis offers a comprehensive resource to fractional analysis and its many applications as well as information on the newest research.

Design and Analysis of Electrical Circuits that Produce Fractional-order Differentiation

Author : Richard N. Hughes (CAPT, USAF.)
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (132 download)

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Book Synopsis Design and Analysis of Electrical Circuits that Produce Fractional-order Differentiation by : Richard N. Hughes (CAPT, USAF.)

Download or read book Design and Analysis of Electrical Circuits that Produce Fractional-order Differentiation written by Richard N. Hughes (CAPT, USAF.) and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Dynamical Systems: Methods, Algorithms and Applications

Author : Piotr Kulczycki
Publisher : Springer Nature
ISBN 13 : 3030899721
Total Pages : 398 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Fractional Dynamical Systems: Methods, Algorithms and Applications by : Piotr Kulczycki

Download or read book Fractional Dynamical Systems: Methods, Algorithms and Applications written by Piotr Kulczycki and published by Springer Nature. This book was released on 2022-01-04 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a wide and comprehensive spectrum of issues and problems related to fractional-order dynamical systems. It is meant to be a full-fledge, comprehensive presentation of many aspects related to the broadly perceived fractional-order dynamical systems which constitute an extension of the traditional integer-order-type descriptions. This implies far-reaching consequences, both analytic and algorithmic, because—in general—properties of the traditional integer-order systems cannot be directly extended by a straightforward generalization to fractional-order systems, modeled by fractional-order differential equations involving derivatives of an non-integer order. This can be useful for describing and analyzing, for instance, anomalies in the behavior of various systems, chaotic behavior, etc. The book contains both analytic contributions with state-of-the-art and theoretical foundations, algorithmic implementation of tools and techniques, and—finally—some examples of relevant and successful practical applications.

Analog Circuit Design in The Fractional Order Domain

Author : Ahmed M. Soliman
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659606915
Total Pages : 148 pages
Book Rating : 4.6/5 (69 download)

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Book Synopsis Analog Circuit Design in The Fractional Order Domain by : Ahmed M. Soliman

Download or read book Analog Circuit Design in The Fractional Order Domain written by Ahmed M. Soliman and published by LAP Lambert Academic Publishing. This book was released on 2014-09-24 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the analog designers try to solve the problems of the analog circuits or even the digital circuits like the delay, power consumption and circuit size and complexity by proposing new circuit implementations. These designers depend on the approximations in their early stages of the design phases to obtain integer values for the results which can be implemented by their ideas. Usually these approximations affect everything in the circuit like the system budget analysis resulted in a filter of order 3.6, the designers will approximate this order to 4 to be able to implement it. On this other hand, this approximation increase the filter delay, complexity and hence the power consumption. On the other hand, a second approach of the circuit design depends on using the fractional calculus. Fractional calculus was a pure mathematical theory until some researchers discovered that they can implement electrical elements of fractional order behaviour . Hence, this fractional order element can be used to design fractional order circuits to satisfy the exact system requirements. This approach should illuminate the overhead of the time and power consumption.

Descriptor Systems of Integer and Fractional Orders

Author : Tadeusz Kaczorek
Publisher : Springer Nature
ISBN 13 : 3030724808
Total Pages : 252 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Descriptor Systems of Integer and Fractional Orders by : Tadeusz Kaczorek

Download or read book Descriptor Systems of Integer and Fractional Orders written by Tadeusz Kaczorek and published by Springer Nature. This book was released on 2021-04-13 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers some selected problems of the descriptor integer and fractional order positive continuous-time and discrete-time systems. The book consists of 3 chapters, 4 appendices and the list of references. Chapter 1 is devoted to descriptor integer order continuous-time and discrete-time linear systems. In Chapter 2, descriptor fractional order continuous-time and discrete-time linear systems are considered. Chapter 3 is devoted to the stability of descriptor continuous-time and discrete-time systems of integer and fractional orders. In Appendix A, extensions of the Cayley–Hamilton theorem for descriptor linear systems are given. Some methods for computation of the Drazin inverse are presented in Appendix B. In Appendix C, some basic definitions and theorems on Laplace transforms and Z-transforms are given. Some properties of the nilpotent matrices are given in Appendix D.

Innovation in Electrical Power Engineering, Communication, and Computing Technology

Author : Manohar Mishra
Publisher : Springer Nature
ISBN 13 : 9811670765
Total Pages : 573 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Innovation in Electrical Power Engineering, Communication, and Computing Technology by : Manohar Mishra

Download or read book Innovation in Electrical Power Engineering, Communication, and Computing Technology written by Manohar Mishra and published by Springer Nature. This book was released on 2021-12-15 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features selected high-quality papers from the Second International Conference on Innovation in Electrical Power Engineering, Communication, and Computing Technology (IEPCCT 2021), held at Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar, India, on 24–26 September 2021. Presenting innovations in power, communication, and computing, it covers topics such as mini, micro, smart and future power grids; power system economics; energy storage systems; intelligent control; power converters; improving power quality; signal processing; sensors and actuators; image/video processing; high-performance data mining algorithms; advances in deep learning; and optimization methods.

Mathematical Techniques of Fractional Order Systems

Author : Ahmad Taher Azar
Publisher : Elsevier
ISBN 13 : 012813593X
Total Pages : 702 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Mathematical Techniques of Fractional Order Systems by : Ahmad Taher Azar

Download or read book Mathematical Techniques of Fractional Order Systems written by Ahmad Taher Azar and published by Elsevier. This book was released on 2018-06-11 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems. Discusses multidisciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results Includes circuits and systems based on new nonlinear elements Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers Closes the gap between theoretical approaches and real-world applications Provides MATLAB® and Simulink code for many applications in the book

Fractional Order Control and Synchronization of Chaotic Systems

Author : Ahmad Taher Azar
Publisher : Springer
ISBN 13 : 3319502492
Total Pages : 873 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Fractional Order Control and Synchronization of Chaotic Systems by : Ahmad Taher Azar

Download or read book Fractional Order Control and Synchronization of Chaotic Systems written by Ahmad Taher Azar and published by Springer. This book was released on 2017-02-27 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc. In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.

Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)

Author : Andrzej Dzielinski
Publisher : Springer Nature
ISBN 13 : 3031043839
Total Pages : 268 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21) by : Andrzej Dzielinski

Download or read book Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21) written by Andrzej Dzielinski and published by Springer Nature. This book was released on 2022-04-26 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book touches upon various aspects of a very interesting, and growing in popularity category of models of dynamical systems. These are the so-called fractional-order systems. Such models are not only relevant for many fields of science and technology, but may also find numerous applications in other disciplines applying the mathematical modelling tools. Thus, the book is intended for a very wide audience of professionals who want to expand their knowledge of systems modelling and its applications. The book includes the selections of papers presented at the International Conference on Fractional Calculus and its Applications organized by the Warsaw University of Technology and was held online on 6–8 September 2021. The International Conference on Fractional Calculus and its Applications (ICFDA) has an almost twenty years history. It started in Bordeaux (France) in 2004, followed by Porto (Portugal) 2006, Istanbul (Turkey) 2008, Badajoz (Spain) 2010, Nanjing (China) 2012, Catania (Italy) 2014, Novi Sad (Serbia) 2016, Amman (Jordan) 2018. Next ICFDA was planned in 2020 in Warsaw (Poland), but COVID-19 pandemic shifted it to 6–8 September 2021. Hence, the organizers were forced to change the form of the conference to the online one. In the volume twenty eight high-quality research papers presented during the ICFDA 2021 eleven Regular Sessions with an additional online Discussion Session are presented. The presented papers are scientifically inspiring, leading to new fruitful ideas. They cover a very broad range of many disciplines. Nowadays, and especially in such a subject as fractional calculus, it is very difficult to assign papers to specific scientific areas. So, many of the papers included have an interdisciplinary character.

Non-Integer Order Calculus and its Applications

Author : Piotr Ostalczyk
Publisher : Springer
ISBN 13 : 3319784587
Total Pages : 235 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Non-Integer Order Calculus and its Applications by : Piotr Ostalczyk

Download or read book Non-Integer Order Calculus and its Applications written by Piotr Ostalczyk and published by Springer. This book was released on 2018-03-22 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on fractional calculus, presenting novel advances in both the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering (e.g. electrical, mechanical, chemical), dynamical systems modeling, analysis and synthesis (e.g technical, biological, economical) as well as in multidisciplinary areas (e.g. biochemistry, electrochemistry).As well as the mathematical foundations the book concentrates on the technical applications of continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It also presents the latest results.Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the exchange of scientific results. The book includes papers presented at the 9th International Conference on Non-integer Order Calculus and Its Applications and is divided into three parts:• Mathematical foundations• Fractional systems analysis and synthesis• System modelingSeven papers discuss the mathematical foundations, twelve papers address fractional order analysis and synthesis and three focus on dynamical system modeling by the fractional order differential and difference equations. It is a useful resource for fractional calculus scientific community.