Автор: Hainaut Название: Continuous Time Processes for Finance ISBN: 3031063600 ISBN-13(EAN): 9783031063602 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explores recent topics in quantitative finance with an emphasis on applications and calibration to time-series. The first part of this book focuses on switching regime processes that allow to model economic cycles in financial markets.
Автор: Rafael Mart?nez-Guerra; Claudia A. P?rez-Pinacho; Название: Synchronization of Integral and Fractional Order Chaotic Systems ISBN: 3319152831 ISBN-13(EAN): 9783319152837 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems.
Автор: Azar, Ahmad Taher Название: Linear and Nonlinear Fractional Order Systems ISBN: 0128135921 ISBN-13(EAN): 9780128135921 Издательство: Elsevier Science Рейтинг: Цена: 190890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Vyawahare Название: Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models ISBN: 9811075867 ISBN-13(EAN): 9789811075865 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Chapter 1. Fractional Calculus.- Chapter 2. Introduction to Nuclear Reactor Modeling.- Chapter 3. Development and Analysis of Fractional-order Neutron Telegraph Equation.- Chapter 4. Development and Analysis of Fractional-order Point Reactor Kinetics Model.- Chapter 5. Further Developments using Fractional-order Point Reactor Kinetics Model.- Chapter 6. Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback.- Chapter 7. Development and Analysis of Fractional-order Two-Group Models.
Автор: Mart?nez-Guerra Название: Advances in Synchronization of Coupled Fractional Order Systems ISBN: 3319939459 ISBN-13(EAN): 9783319939452 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Preface.- Introduction.- Basic Concepts and Preliminares.- Synchronization of Chaotic Systems by means of a nonlinear observer: An application to Secure Communications.- Synchronization for Chaotic system through an Observer using the Immersion and Invariance (I&I) Approach.- Synchronization of Nonlinear Fractional Order Systems by Means of PIra Reduced Order Observer.- Estimators for a class of commensurate fractional order systems with Caputo derivative.- Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems using Fractional Dynamical Controller.- An Observer for a Class of Incommensurate Fractional Order Systems.- Fractional Generalized quasi-synchronization of incommensurate fractional order oscillators.- Synchronization and Anti-synchronization of fractional order chaotic systems by means of a fractional integral observer.- Appendix.- Index.
Автор: Almeida Название: The Variable-Order Fractional Calculus of Variations ISBN: 3319940058 ISBN-13(EAN): 9783319940052 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: ГЇВїВЅ The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators.
Автор: Dingyu Xue Название: Fractional-Order Control Systems: Fundamentals and Numerical Implementations ISBN: 3110499991 ISBN-13(EAN): 9783110499995 Издательство: Walter de Gruyter Цена: 136310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms
Автор: Michal Feckan, JinRong Wang, Michal Pospisil Название: Fractional-Order Equations and Inclusions ISBN: 3110521385 ISBN-13(EAN): 9783110521382 Издательство: Walter de Gruyter Цена: 148700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics.
Contents Fractional Difference Equations Fractional Integral Equations Fractional Differential Equations Fractional Evolution Equations: Continued Fractional Differential Inclusions
Автор: Vishwesh Vyawahare; Paluri S. V. Nataraj Название: Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models ISBN: 9811356556 ISBN-13(EAN): 9789811356551 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems.Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.
Автор: Rafael Mart?nez-Guerra; Claudia Alejandra P?rez-Pi Название: Advances in Synchronization of Coupled Fractional Order Systems ISBN: 3030067521 ISBN-13(EAN): 9783030067526 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few.This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems.
Автор: Rajarama Mohan Jena, Snehashish Chakraverty, Subrat Kumar Jena Название: Time-Fractional Order Biological Systems with Uncertain Parameters ISBN: 1681737515 ISBN-13(EAN): 9781681737515 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 75770.00 T Наличие на складе: Нет в наличии. Описание: The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. The fractional derivative has been used in various physical problems, such as frequency-dependent damping behavior of structures, biological systems, motion of a plate in a Newtonian fluid, ����λ��μ controller for the control of dynamical systems, and so on. It is challenging to obtain the solution (both analytical and numerical) of related nonlinear partial differential equations of fractional order. So for the last few decades, a great deal of attention has been directed towards the solution for these kind of problems. Different methods have been developed by other researchers to analyze the above problems with respect to crisp (exact) parameters.
However, in real-life applications such as for biological problems, it is not always possible to get exact values of the associated parameters due to errors in measurements/experiments, observations, and many other errors. Therefore, the associated parameters and variables may be considered uncertain. Here, the uncertainties are considered interval/fuzzy. Therefore, the development of appropriate efficient methods and their use in solving the mentioned uncertain problems are the recent challenge.
In view of the above, this book is a new attempt to rigorously present a variety of fuzzy (and interval) time-fractional dynamical models with respect to different biological systems using computationally efficient method. The authors believe this book will be helpful to undergraduates, graduates, researchers, industry, faculties, and others throughout the globe.
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