Analysis Modeling And Stability Of Fractional Order Differential Systems 1
DOWNLOAD eBooks
Download Analysis Modeling And Stability Of Fractional Order Differential Systems 1 PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Analysis Modeling And Stability Of Fractional Order Differential Systems 1 book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Analysis Modeling And Stability Of Fractional Order Differential Systems 1
DOWNLOAD eBooks
Author : Jean-Claude Trigeassou
language : en
Publisher: John Wiley & Sons
Release Date : 2019-09-11
Analysis Modeling And Stability Of Fractional Order Differential Systems 1 written by Jean-Claude Trigeassou and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-11 with Technology & Engineering categories.
This book introduces an original fractional calculus methodology (‘the infinite state approach’) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation.
Analysis Modeling And Stability Of Fractional Order Differential Systems 2
DOWNLOAD eBooks
Author : Jean-Claude Trigeassou
language : en
Publisher: John Wiley & Sons
Release Date : 2020-02-26
Analysis Modeling And Stability Of Fractional Order Differential Systems 2 written by Jean-Claude Trigeassou and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-26 with Technology & Engineering categories.
This book introduces an original fractional calculus methodology (the infinite state approach) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation. With this approach, fundamental issues such as system state interpretation and system initialization – long considered to be major theoretical pitfalls – have been solved easily. Although originally introduced for numerical simulation and identification of FDEs, this approach also provides original solutions to many problems such as the initial conditions of fractional derivatives, the uniqueness of FDS transients, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and Lyapunov stability analysis of linear and nonlinear fractional order systems. This second volume focuses on the initialization, observation and control of the distributed state, followed by stability analysis of fractional differential systems.
Functional And Impulsive Differential Equations Of Fractional Order
DOWNLOAD eBooks
Author : Ivanka Stamova
language : en
Publisher: CRC Press
Release Date : 2017-03-03
Functional And Impulsive Differential Equations Of Fractional Order written by Ivanka Stamova and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-03 with Mathematics categories.
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 properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.
Fractional Order Systems
DOWNLOAD eBooks
Author : Ivo Petráš
language : en
Publisher: MDPI
Release Date : 2019-10-29
Fractional Order Systems written by Ivo Petráš and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Mathematics categories.
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, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems. This Special Issue explores applications of such systems to control, synchronization, and various mathematical models, as for instance, MRI, long memory process, diffusion.
Numerical Methods For Fractal Fractional Differential Equations And Engineering
DOWNLOAD eBooks
Author : Muhammad Altaf Khan
language : en
Publisher: CRC Press
Release Date : 2023-05-16
Numerical Methods For Fractal Fractional Differential Equations And Engineering written by Muhammad Altaf Khan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-16 with Technology & Engineering categories.
This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions. Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling provides details for stability, convergence, and analysis along with numerical methods and their solution procedures for fractal-fractional operators. The book offers applications to chaotic problems and simulations using multiple fractal-fractional operators and concentrates on models that display chaos. The book details how these systems can be predictable for a while and then can appear to become random. Practitioners, engineers, researchers, and senior undergraduate and graduate students from mathematics and engineering disciplines will find this book of interest._
Fractional Order Modeling And Control Of Dynamic Systems
DOWNLOAD eBooks
Author : Aleksei Tepljakov
language : en
Publisher: Springer
Release Date : 2017-02-08
Fractional Order Modeling And Control Of Dynamic Systems written by Aleksei Tepljakov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-08 with Technology & Engineering categories.
This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.
Fractional Differential Equations
DOWNLOAD eBooks
Author : Mouffak Benchohra
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-11-20
Fractional Differential Equations written by Mouffak Benchohra and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Technology & Engineering categories.
Fractional Order Nonlinear Systems
DOWNLOAD eBooks
Author : Ivo Petráš
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-30
Fractional Order Nonlinear Systems written by Ivo Petráš and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-30 with Technology & Engineering categories.
"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 an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.
The Analysis Of Fractional Differential Equations
DOWNLOAD eBooks
Author : Kai Diethelm
language : en
Publisher: Springer
Release Date : 2010-08-18
The Analysis Of Fractional Differential Equations written by Kai Diethelm and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-18 with Mathematics categories.
Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.
The Craft Of Fractional Modelling In Science And Engineering
DOWNLOAD eBooks
Author : Jordan Hristov
language : en
Publisher: MDPI
Release Date : 2018-06-22
The Craft Of Fractional Modelling In Science And Engineering written by Jordan Hristov and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-22 with Electronic books categories.
This book is a printed edition of the Special Issue "The Craft of Fractional Modelling in Science and Engineering" that was published in Fractal Fract