Mathematical Techniques of Fractional Order Systems

Written By Ahmad Taher Azar
Mathematical Techniques of Fractional Order Systems
  • Publsiher : Elsevier
  • Release : 11 June 2018
  • ISBN : 012813593X
  • Pages : 700 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Mathematical Techniques of Fractional Order Systems written by Ahmad Taher Azar which was release on 11 June 2018, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. 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

Mathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Elsevier
  • Release Date : 2018-06-11
  • Total pages : 700
  • ISBN : 012813593X
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Summary : 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 ...

Fractional Order Systems and Applications in Engineering

Fractional Order Systems and Applications in Engineering
  • Author : Dumitru Baleanu,Valentina Emilia Balas,Agarwal Praveen
  • Publisher : Academic Press
  • Release Date : 2021-08-15
  • Total pages : 232
  • ISBN : 012813593X
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Summary : 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 ...

Fractional Order Systems

Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Academic Press
  • Release Date : 2018-08-16
  • Total pages : 741
  • ISBN : 012813593X
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Summary : 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 ...

Fractional Order Design Devices Circuits and Systems

Fractional Order Design  Devices  Circuits  and Systems
  • Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
  • Publisher : Academic Press
  • Release Date : 2021-10-15
  • Total pages : 700
  • ISBN : 012813593X
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Summary : 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 Differential Equations

Fractional Differential Equations
  • Author : Igor Podlubny
  • Publisher : Elsevier
  • Release Date : 1998-10-27
  • Total pages : 340
  • ISBN : 012813593X
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Summary : This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. ...

Fractional Dynamics and Control

Fractional Dynamics and Control
  • Author : Dumitru Baleanu,José António Tenreiro Machado,Albert C. J. Luo
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-11-19
  • Total pages : 310
  • ISBN : 012813593X
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Summary : 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 Order Systems

Fractional Order Systems
  • Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
  • Publisher : Academic Press
  • Release Date : 2021-10-15
  • Total pages : 700
  • ISBN : 012813593X
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Summary : 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 ...

Special Functions and Analysis of Differential Equations

Special Functions and Analysis of Differential Equations
  • Author : Praveen Agarwal,Ravi P Agarwal,Michael Ruzhansky
  • Publisher : CRC Press
  • Release Date : 2020-09-08
  • Total pages : 354
  • ISBN : 012813593X
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Summary : Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of ...

Fractional Order Processes

Fractional Order Processes
  • Author : Seshu Kumar Damarla,Madhusree Kundu
  • Publisher : CRC Press
  • Release Date : 2018-09-03
  • Total pages : 340
  • ISBN : 012813593X
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Summary : The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from experimental or simulated data. A simple tuning technique, which aims to produce a robust FO ...

Fractional Order Processes

Fractional Order Processes
  • Author : Seshu Kumar Damarla,Madhusree Kundu
  • Publisher : CRC Press
  • Release Date : 2018-09-03
  • Total pages : 340
  • ISBN : 012813593X
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Summary : The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from experimental or simulated data. A simple tuning technique, which aims to produce a robust FO ...

Non Integer Order Calculus and its Applications

Non Integer Order Calculus and its Applications
  • Author : Piotr Ostalczyk,Dominik Sankowski,Jacek Nowakowski
  • Publisher : Springer
  • Release Date : 2018-03-22
  • Total pages : 229
  • ISBN : 012813593X
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Summary : 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 ...

Fractional Order Systems

Fractional Order Systems
  • Author : Riccardo Caponetto
  • Publisher : World Scientific
  • Release Date : 2010
  • Total pages : 200
  • ISBN : 012813593X
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Summary : This book aims to propose implementations and applications of Fractional Order Systems (FOS). It is well known that FOS can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. A further and mandatory step for FOS real world ...

Fuzzy Arbitrary Order System

Fuzzy Arbitrary Order System
  • Author : Snehashish Chakraverty,Smita Tapaswini,Diptiranjan Behera
  • Publisher : John Wiley & Sons
  • Release Date : 2016-08-29
  • Total pages : 272
  • ISBN : 012813593X
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Summary : Presents a systematic treatment of fuzzy fractional differential equations as well as newly developed computational methods to model uncertain physical problems Complete with comprehensive results and solutions, Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications details newly developed methods of fuzzy computational techniquesneeded to model solve uncertainty. Fuzzy ...

Fractional Order Nonlinear Systems

Fractional Order Nonlinear Systems
  • Author : Ivo Petráš
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-05-30
  • Total pages : 218
  • ISBN : 012813593X
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Summary : "Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in ...

Fractional order Modelling of Dynamic Systems with Applications in Optimization Signal Processing and Control

Fractional order Modelling of Dynamic Systems with Applications in Optimization  Signal Processing and Control
  • Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
  • Publisher : Academic Press
  • Release Date : 2021-10-15
  • Total pages : 700
  • ISBN : 012813593X
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Summary : 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 ...