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 : /5 from reviews
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Download or read book entitled Mathematical Techniques of Fractional Order Systems by author: Ahmad Taher Azar which was release on 11 June 2018 and published by Elsevier with total page 700 pages . This book available in PDF, EPUB and Kindle Format. 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 and Controls

Fractional order Systems and Controls
  • Author : Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-09-28
  • Total pages : 415
  • ISBN : 012813593X
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Summary : Fractional-order Systems and Controls details the use of fractional calculus in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the ...

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 Systems

Fractional Order Systems
  • Author : Ivo Petráš
  • Publisher : MDPI
  • Release Date : 2019-10-29
  • Total pages : 114
  • ISBN : 012813593X
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Summary : This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, ...

Functional and Impulsive Differential Equations of Fractional Order

Functional and Impulsive Differential Equations of Fractional Order
  • Author : Ivanka Stamova,Gani Stamov
  • Publisher : CRC Press
  • Release Date : 2017-03-03
  • Total pages : 276
  • ISBN : 012813593X
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Summary : The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative ...

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 Order Signal Processing

Fractional Order Signal Processing
  • Author : Saptarshi Das,Indranil Pan
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-09-15
  • Total pages : 101
  • ISBN : 012813593X
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Summary : The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional ...

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 ...

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 ...

Advanced Applications of Fractional Differential Operators to Science and Technology

Advanced Applications of Fractional Differential Operators to Science and Technology
  • Author : Matouk, Ahmed Ezzat
  • Publisher : IGI Global
  • Release Date : 2020-04-24
  • Total pages : 401
  • ISBN : 012813593X
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Summary : Fractional-order calculus dates to the 19th century but has been resurrected as a prevalent research subject due to its provision of more adequate and realistic descriptions of physical aspects within the science and engineering fields. What was once a classical form of mathematics is currently being reintroduced as a new ...

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 ...

Introduction to Fractional Differential Equations

Introduction to Fractional Differential Equations
  • Author : Constantin Milici,Gheorghe Drăgănescu,J. Tenreiro Machado
  • Publisher : Springer
  • Release Date : 2018-10-28
  • Total pages : 188
  • ISBN : 012813593X
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Summary : This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the ...

Fuzzy Arbitrary Order System

Fuzzy Arbitrary Order System
  • Author : Snehashish Chakraverty,Smita Tapaswini,Diptiranjan Behera
  • Publisher : John Wiley & Sons
  • Release Date : 2016-08-09
  • 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 ...

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 ...